In a recent year, 28.7% of all registered doctors were female. If there were 49,400 female registered doctors that year, what was the total number of registered doctors? Round to the nearest whole number

Let T be the total number of registered doctors.

0.287 * T = 49,400
T = 49,400 / 0.287
T = <<172000=172,000>>172,000
The total number of registered doctors was 172,000. Answer: \boxed{172,000}.