How do I deal with a stinky 5 year-old boy?

This is a true stink! He bathes everyday and we scrub him clean all over his body. Still, he smells adult man-stinky. It’s after he runs around and plays outside of course. I don’t want him embarrassed and I frankly don’t want to be embarrassed myself by this odor. And I pity his teacher! We’ve tried putting a bit of cornstarch in his clothes to absorb the sweat. No big change. We bought him some natural kid deodorant and we’ll see how it works when it arrives. Any advice or ideas?