202872 has 32 divisors (see below), whose sum is σ = 518400. Its totient is φ = 66144.

The previous prime is 202859. The next prime is 202877. The reversal of 202872 is 278202.

202872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 202872.

It is not an unprimeable number, because it can be changed into a prime (202877) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1843 + ... + 1949.

It is an arithmetic number, because the mean of its divisors is an integer number (16200).

2²⁰²⁸⁷² is an apocalyptic number.

It is an amenable number.

202872 is an abundant number, since it is smaller than the sum of its proper divisors (315528).

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

202872 is a wasteful number, since it uses less digits than its factorization.

202872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 202872 is about 450.4131436803. The cubic root of 202872 is about 58.7589514050.

The spelling of 202872 in words is "two hundred two thousand, eight hundred seventy-two".