725582025 has 72 divisors (see below), whose sum is σ = 1525519424. Its totient is φ = 322704000.

The previous prime is 725582009. The next prime is 725582041. The reversal of 725582025 is 520285527.

725582025 is a `hidden beast` number, since 72 + 5 + 582 + 0 + 2 + 5 = 666.

725582025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (725582009) and next prime (725582041).

It is not a de Polignac number, because 725582025 - 2⁴ = 725582009 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52050 + ... + 64500.

Almost surely, 2^725582025 is an apocalyptic number.

725582025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

725582025 is an abundant number, since it is smaller than the sum of its proper divisors (799937399).

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

725582025 is a wasteful number, since it uses less digits than its factorization.

725582025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12511 (or 12503 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 725582025 is about 26936.6298003295. The cubic root of 725582025 is about 898.5912219035.

The spelling of 725582025 in words is "seven hundred twenty-five million, five hundred eighty-two thousand, twenty-five".