Melbourne is a city in the U.S. state of Arkansas. It is part of Izard County with a total land area of 6.29 square miles at 36°3′35″N 91°53′40″W. The elevation is 610 feet above sea level. Melbourne is home to the Ozarka College. As of the 2010 census data, it had a total population of 1,848 people. The population density was 281.97/sq mi. Estimated per capita income in 2015 was $20,642. The average travel time is 19 minutes. It has Zip code 72556.