208872 has 32 divisors (see below), whose sum is σ = 580800. Its totient is φ = 69552.

The previous prime is 208843. The next prime is 208877. The reversal of 208872 is 278802.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (208877) by changing a digit.

208872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 268 + ... + 699.

It is an arithmetic number, because the mean of its divisors is an integer number (18150).

2²⁰⁸⁸⁷² is an apocalyptic number.

It is an amenable number.

208872 is an abundant number, since it is smaller than the sum of its proper divisors (371928).

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

208872 is a wasteful number, since it uses less digits than its factorization.

208872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 208872 is about 457.0251634210. The cubic root of 208872 is about 59.3326038991.

The spelling of 208872 in words is "two hundred eight thousand, eight hundred seventy-two".