872568 has 24 divisors (see below), whose sum is σ = 2363400. Its totient is φ = 290832.

The previous prime is 872567. The next prime is 872587. The reversal of 872568 is 865278.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×872568² = 1522749829248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 872568.

It is not an unprimeable number, because it can be changed into a prime (872561) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5988 + ... + 6131.

It is an arithmetic number, because the mean of its divisors is an integer number (98475).

2⁸⁷²⁵⁶⁸ is an apocalyptic number.

It is an amenable number.

872568 is an abundant number, since it is smaller than the sum of its proper divisors (1490832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

872568 is a wasteful number, since it uses less digits than its factorization.

872568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12131 (or 12124 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 872568 is about 934.1134834698. The cubic root of 872568 is about 95.5578626529.

The spelling of 872568 in words is "eight hundred seventy-two thousand, five hundred sixty-eight".