725637 has 12 divisors (see below), whose sum is σ = 1064000. Its totient is φ = 439560.

The previous prime is 725603. The next prime is 725639. The reversal of 725637 is 736527.

It is not a de Polignac number, because 725637 - 2⁸ = 725381 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 725637.

It is not an unprimeable number, because it can be changed into a prime (725639) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 637 + ... + 1362.

2⁷²⁵⁶³⁷ is an apocalyptic number.

It is an amenable number.

725637 is a deficient number, since it is larger than the sum of its proper divisors (338363).

725637 is a wasteful number, since it uses less digits than its factorization.

725637 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024 (or 2013 counting only the distinct ones).

The product of its digits is 8820, while the sum is 30.

The square root of 725637 is about 851.8432954482. The cubic root of 725637 is about 89.8613915779.

The spelling of 725637 in words is "seven hundred twenty-five thousand, six hundred thirty-seven".