872008 has 8 divisors (see below), whose sum is σ = 1635030. Its totient is φ = 436000.

The previous prime is 871993. The next prime is 872017. The reversal of 872008 is 800278.

It can be written as a sum of positive squares in only one way, i.e., 770884 + 101124 = 878^2 + 318^2 .

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

It is a plaindrome in base 15.

It is an unprimeable number.

872008 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, 54493 + ... + 54508.

2⁸⁷²⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

872008 is a deficient number, since it is larger than the sum of its proper divisors (763022).

872008 is a wasteful number, since it uses less digits than its factorization.

872008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109007 (or 109003 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 872008 is about 933.8136859138. The cubic root of 872008 is about 95.5374157823.

The spelling of 872008 in words is "eight hundred seventy-two thousand, eight".