i would definitely call back. wait about a week after turning in your application (which, if you did so online, it might have been a good idea to go in and let them know, "hey, i applied, just letting you know" the day you did it) before calling them.

my bosses take forever to look at applications, even though we're down to six regular workers and need more people to work. my general manager is lazy about paperwork. but they tend to pay attention to people who keep in touch after turning in an application.