Hi Matt,
As you could see the info for NYU in other posts, 2400-2500 people apply to NYU. I don't know how many are invited for interview, but I heard they are doing interview around 100 people a month since Nov.(So you can figure out the number.) I heard they are gonna recruit about 280 students this year. As for inverview, it's very relaxing and straightforward questions, like why wanna be a dentist, what's you strength and weakness...
Good luck