* Treasury to sell $72 billion in three-, 10-, 30-year bonds * Fed buys $1.45 bln in bonds due 2036-2042 * Focus on sequester ahead of Tuesday's State of the Union By Karen Brettell NEW YORK, Feb 11 (Reuters) - U.S. Treasuries edged slightly higher on Monday before new Treasury supply this week and a day ahead of President Barack Obama's State of the Union address, which will be watched for any indications of a deal to avert spending cuts. The Treasury will sell $72 billion in new debt this week, including $32 billion in three-year notes on Tuesday, $24 billion in 10-year notes on Wednesday and $16 billion in 30-year bonds on Thursday. While the new supply this week may begin to weigh on prices, large buybacks by the Federal Reserve are expected to temper weakness. "The market needs to digest the supply that is coming this week," said Sean Simko, portfolio manager at SEI Investments in Oaks, Pennsylvania. But analysts said markets will likely stay rangebound. "The big picture hasn't changed, there are still the ongoing issues of slow growth and uncertainty," said Simko. "Until we really start seeing headlines that are changing the bigger picture we're going to stay in this range." Benchmark 10-year Treasuries were up 1/32 to yield 1.948 percent. The notes are seen trading in a range from around 1.90 percent to 2.04 percent. The Fed bought $1.45 billion in long-dated debt due from 2036 to 2042 on Monday and plans further long-dated purchases this week as well as buybacks in the 10-year sector and five-year sector. Attention is also expected to focus on Obama's State of the Union address on Tuesday, which will be watched for any signs that lawmakers are likely to reach a deal to avert automatic spending cuts due to take effect on March 1. The White House said on Friday that government spending cuts would have harsh consequences for ordinary Americans and the U.S. economy. "We're several weeks away from the soft date of the sequester so people will be looking to see if any progress is made," said Jason Rogan, managing director in Treasuries trading at Guggenheim Partners in New York. "As we get closer to March, I think it will help to move the market one way or another with the rhetoric coming out of Washington," he added. Trading volumes were weaker overnight on Monday as China and Japan both closed markets for national holidays. Remarks on Monday by the Federal Reserve's vice chairman, Janet Yellen, were seen as an attempt to rein in expectations of higher rates in coming months. Yellen said the Fed's aggressive and ongoing easing of monetary policy is warranted given the still-battered state of the U.S. labor market. "Ms. Yellen appears to be painting the ugliest possible picture on the road to recovery and attempting to soften market expectations over the need to push yields higher," said Andrew Wilkinson, chief economic strategist at Miller Tabak & Co. LLC.