There are 14 US Post Offices in Apache County serving a total of 44,508 residents equating to 3,179 residents per post office. It's estimated that approximately 71,040 packages are handled across the 14 county post offices annually. Apache County is located in the northeast corner of the U.S. state of Arizona. As of the 2010 census its population was 71,518. The county seat is St. Johns."