208072 has 16 divisors (see below), whose sum is σ = 403200. Its totient is φ = 100560.

The previous prime is 208067. The next prime is 208073. The reversal of 208072 is 270802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208073) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 172 + ... + 667.

It is an arithmetic number, because the mean of its divisors is an integer number (25200).

2²⁰⁸⁰⁷² is an apocalyptic number.

It is an amenable number.

208072 is a deficient number, since it is larger than the sum of its proper divisors (195128).

208072 is a wasteful number, since it uses less digits than its factorization.

208072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 208072 is about 456.1490984316. The cubic root of 208072 is about 59.2567571089.

Adding to 208072 its reverse (270802), we get a palindrome (478874).

It can be divided in two parts, 20807 and 2, that multiplied together give a palindrome (41614).

The spelling of 208072 in words is "two hundred eight thousand, seventy-two".