209800272 has 80 divisors (see below), whose sum is σ = 594551232. Its totient is φ = 63221760.

The previous prime is 209800271. The next prime is 209800277. The reversal of 209800272 is 272008902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209800271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103008 + ... + 105024.

Almost surely, 2^209800272 is an apocalyptic number.

209800272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209800272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297275616).

209800272 is an abundant number, since it is smaller than the sum of its proper divisors (384750960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

209800272 is a wasteful number, since it uses less digits than its factorization.

209800272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 209800272 is about 14484.4838361607. The cubic root of 209800272 is about 594.2036961955.

The spelling of 209800272 in words is "two hundred nine million, eight hundred thousand, two hundred seventy-two".