Given that the article says this, part way in:
> There were 366 numbers drawn because men born in 1944 and 1948 were affected by the lottery, and those years were leap years.
This was not for the WWII draft (1944 is just before the end of WWII, and 1948 is after WWII ended). Given the publication date of 1970 this most likely was the Vietnam War draft that is being discussed.