90725625 has 45 divisors (see below), whose sum is σ = 165057321. Its totient is φ = 48006000.

The previous prime is 90725603. The next prime is 90725669. The reversal of 90725625 is 52652709.

The square root of 90725625 is 9525.

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

90725625 is a `hidden beast` number, since 9 + 0 + 7 + 25 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7112889 + 83612736 = 2667^2 + 9144^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 90725625 - 2⁹ = 90725113 is a prime.

It is a super-2 number, since 2×90725625² = 16462278063281250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90725625.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 714312 + ... + 714438.

Almost surely, 2^90725625 is an apocalyptic number.

90725625 is the 9525-th square number.

90725625 is the 4763-rd centered octagonal number.

It is an amenable number.

90725625 is a deficient number, since it is larger than the sum of its proper divisors (74331696).

90725625 is an equidigital number, since it uses as much as digits as its factorization.

90725625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The cubic root of 90725625 is about 449.3416298373.

Multiplying 90725625 by its sum of digits (36), we get a square (3266122500 = 57150²).

The spelling of 90725625 in words is "ninety million, seven hundred twenty-five thousand, six hundred twenty-five".