I'm not trying to rain on his parade, as it is an impressive feat under any circumstance. But, I think it had more to do with the number of attempts, rather than him being on fire.
I felt like anything I tossed up was going in
27 of 71 = 38 3P%
7 of 10 = 70 FT%
52 of 108 = 48 FG%
Those numbers are nothing spectacular for a single game. There are NBA players that carry better percentages for an entire season, against much stiffer competition. So, I guess if you use the formula of (1) give ball to Player-A (2) Player-A immediately shoots the ball...then an above average player could pull this off (against the right competition).
With that said, damn, that's a lot of points