872907025 has 27 divisors (see below), whose sum is σ = 1146056763. Its totient is φ = 659444400.

The previous prime is 872906953. The next prime is 872907029. The reversal of 872907025 is 520709278.

The square root of 872907025 is 29545.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 314246529 + 558660496 = 17727^2 + 23636^2 .

It is not a de Polignac number, because 872907025 - 2¹⁵ = 872874257 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (872907029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2806620 + ... + 2806930.

Almost surely, 2^872907025 is an apocalyptic number.

872907025 is the 29545-th square number.

872907025 is the 14773-rd centered octagonal number.

It is an amenable number.

872907025 is a deficient number, since it is larger than the sum of its proper divisors (273149738).

872907025 is an equidigital number, since it uses as much as digits as its factorization.

872907025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The cubic root of 872907025 is about 955.7023697385.

The spelling of 872907025 in words is "eight hundred seventy-two million, nine hundred seven thousand, twenty-five".