I like that several people have pointed out that HMS (as well as many other good schools) is more interested in an applicant's qualitative features than their scores. Sure, there is soft floor below which you are probably not considered to be a serious candidate (not because you are less of a human being, but simply because you will struggle to keep up with your classmates). Yet beyond that minimum, these schools make serious efforts to consider the whole package - to create diverse, interesting, and well-balanced cohorts. I am a Caucasian male with a
LizzyM of about 73 (respectable but not outstanding), and I was accepted here. Clearly there's more to this process than just the numbers.
For those of you panicking about your timeframe, I submitted my primary application one year ago today (29 July... seems like yesterday), my HMS secondary on 24 September, got an II on 04 December, and interviewed mid-January. And now I start orientation in 5 days. It goes by quickly, then slowly, then quickly again. Take the extra few minutes/hours/days to make sure that you have put together a solid application that best reflects you as an intelligent, well-rounded, interesting, and caring individual. You'll be fine.