208772 has 24 divisors (see below), whose sum is σ = 399840. Its totient is φ = 95040.

The previous prime is 208759. The next prime is 208787. The reversal of 208772 is 277802.

208772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

208772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3083 + ... + 3149.

It is an arithmetic number, because the mean of its divisors is an integer number (16660).

2²⁰⁸⁷⁷² is an apocalyptic number.

It is an amenable number.

208772 is a deficient number, since it is larger than the sum of its proper divisors (191068).

208772 is a wasteful number, since it uses less digits than its factorization.

208772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 208772 is about 456.9157471570. The cubic root of 208772 is about 59.3231336533.

The spelling of 208772 in words is "two hundred eight thousand, seven hundred seventy-two".