I was curious about this number as well, but I doubt the exact figure will be published before next year or the year after that. If you check the ADEA's webpage under the Center for Education and Policy Research, they have published article or study about the year 2000 applicants. Go check it out, it's pretty cool.
They list everything even the DAT counts, and this matters because it affects the next years application number. The year 2000 applicant number was 7770 and the DAT count was on its way down from the year 1999 to 2000, which means the year 2001 applicant was lower than 7770.
Anyway, after reading this article, I get the sense that number of applicants to dental school has been on the decline, but the quality of the applicants has been going up (in term of GPA and DAT). Kinda weird huh. I guess if the kids these days feel they can't make it, they don't even waste their money.