72008 has 8 divisors (see below), whose sum is σ = 135030. Its totient is φ = 36000.

The previous prime is 71999. The next prime is 72019. The reversal of 72008 is 80027.

It can be written as a sum of positive squares in only one way, i.e., 68644 + 3364 = 262^2 + 58^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an unprimeable number.

72008 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 as a sum of consecutive naturals, namely, 4493 + ... + 4508.

2⁷²⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

72008 is a deficient number, since it is larger than the sum of its proper divisors (63022).

72008 is a wasteful number, since it uses less digits than its factorization.

72008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9007 (or 9003 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 72008 is about 268.3430640058. The cubic root of 72008 is about 41.6032172068.

It can be divided in two parts, 7200 and 8, that multiplied together give a square (57600 = 240²).

The spelling of 72008 in words is "seventy-two thousand, eight".