Princeton spends roughly $270,000 per student (see footnote). I'm sure some of that goes into research as well, but it's a relatively small fraction, since Princeton prides itself as being a teaching university. I suspect that you can build a more successful university by paying students $100,000 a year, hiring grad students to teach, and paying for modest facilities.
(742,123,000/.33)/ 8,374 = 268552 https://profile.princeton.edu/finances https://en.wikipedia.org/wiki/Princeton_University