872316225 has 81 divisors (see below), whose sum is σ = 1727013379. Its totient is φ = 420578400.

The previous prime is 872316217. The next prime is 872316233. The reversal of 872316225 is 522613278.

The square root of 872316225 is 29535.

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

872316225 is a `hidden beast` number, since 8 + 7 + 23 + 1 + 622 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (872316217) and next prime (872316233).

It can be written as a sum of positive squares in only one way, i.e., 314033841 + 558282384 = 17721^2 + 23628^2 .

It is not a de Polignac number, because 872316225 - 2³ = 872316217 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 872316225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4873186 + ... + 4873364.

Almost surely, 2^872316225 is an apocalyptic number.

872316225 is the 29535-th square number.

872316225 is the 14768-th centered octagonal number.

It is an amenable number.

872316225 is a deficient number, since it is larger than the sum of its proper divisors (854697154).

872316225 is a wasteful number, since it uses less digits than its factorization.

872316225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 198 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The cubic root of 872316225 is about 955.4867085911.

Multiplying 872316225 by its sum of digits (36), we get a square (31403384100 = 177210²).

The spelling of 872316225 in words is "eight hundred seventy-two million, three hundred sixteen thousand, two hundred twenty-five".