872625 has 32 divisors (see below), whose sum is σ = 1572480. Its totient is φ = 427200.

The previous prime is 872623. The next prime is 872647. The reversal of 872625 is 526278.

It is not a de Polignac number, because 872625 - 2¹ = 872623 is a prime.

It is a super-2 number, since 2×872625² = 1522948781250, which contains 22 as substring.

Its product of digits (6720) is a multiple of the sum of its prime factors (210).

872625 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 872592 and 872601.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 872625.

It is not an unprimeable number, because it can be changed into a prime (872621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4786 + ... + 4964.

It is an arithmetic number, because the mean of its divisors is an integer number (49140).

2⁸⁷²⁶²⁵ is an apocalyptic number.

It is an amenable number.

872625 is a deficient number, since it is larger than the sum of its proper divisors (699855).

872625 is a wasteful number, since it uses less digits than its factorization.

872625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 200 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 872625 is about 934.1439931831. The cubic root of 872625 is about 95.5599433616.

The spelling of 872625 in words is "eight hundred seventy-two thousand, six hundred twenty-five".