There are 7 US Post Offices in Graham County serving a total of 35,943 residents equating to 5,135 residents per post office. It's estimated that approximately 57,369 packages are handled across the 7 county post offices annually. Graham County is a county located in the southeastern part of the U.S. state of Arizona. As of the 2010 census, the population was 37,220, making it the third-least populous county in Arizona. The county seat is Safford. Graham County composes the Safford, AZ Micropolitan Statistical Area. The county is home to several organizations including Eastern Arizona College and the Mount Graham International Observatory, which includes one of the world's largest and most powerful telescopes. Graham County is also home to the Arizona Salsa Trail and the annual Salsa Fest. Graham County contains part of the San Carlos Apache Indian Reservation."