Curious how you arrived at those numbers.
Look at some long-term global population charts. World population has been generally flat until about the 1890's when it starts to go parabolic.
I believe average life-expectancy is a bit of a red-herring.
Yes, "medical science" and a "safe" (non-physical) working environments can keep you alive longer, but only after you pay the price they demand.
And I'm not sure how many "retirement homes" you've visited lately, but I'm not sure it's the paradise those people were hoping for (especially now).