2016: 73,523 homeless in New York City
2015: 75,323 homeless in New York City
Since 2007, the homeless population has risen about 38%.
The article also mentions there were more than 60,000 New Yorkers living in homeless shelters earlier this year. I don't know how that 60,000 number is supposed to overlap with the 73,523 number. Maybe it means there were ~13,000 homeless people who didn't bother staying in shelters. In any case, it's good to have a reference point. I've seen several articles during the past year with statistics about the homeless population in New York, but the number is always fuzzy in my mind.