What is the smallest school to ever be in the NCAA tourney?

What is the smallest school to ever be in the NCAA tourney?

University of Wisconsin-Milwaukee I call foul on this answer, UWM has 24,273 undergrads. Without knowing the exact answer, just for arguments sake, Wake Forest has 4,321 undergrads.
According to the Carnegie Foundation, Davidson had 1,714 students in 2004. And according to the Princeton Review (which is probably more current), it has 1,668. So around 1,700.