872512 has 14 divisors (see below), whose sum is σ = 1731518. Its totient is φ = 436224.

The previous prime is 872479. The next prime is 872533. The reversal of 872512 is 215278.

It can be written as a sum of positive squares in only one way, i.e., 802816 + 69696 = 896^2 + 264^2 .

It is a super-2 number, since 2×872512² = 1522554380288, which contains 22 as substring.

It is an unprimeable number.

872512 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, 6753 + ... + 6880.

2⁸⁷²⁵¹² is an apocalyptic number.

It is an amenable number.

872512 is a deficient number, since it is larger than the sum of its proper divisors (859006).

872512 is a wasteful number, since it uses less digits than its factorization.

872512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13645 (or 13635 counting only the distinct ones).

The product of its digits is 1120, while the sum is 25.

The square root of 872512 is about 934.0835080441. The cubic root of 872512 is about 95.5558183596. Note that the first 3 decimals are identical.

The spelling of 872512 in words is "eight hundred seventy-two thousand, five hundred twelve".