725909688 has 80 divisors (see below), whose sum is σ = 2323693680. Its totient is φ = 207401472.

The previous prime is 725909629. The next prime is 725909711. The reversal of 725909688 is 886909527.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 75481 + ... + 84552.

It is an arithmetic number, because the mean of its divisors is an integer number (29046171).

Almost surely, 2^725909688 is an apocalyptic number.

It is an amenable number.

725909688 is an abundant number, since it is smaller than the sum of its proper divisors (1597783992).

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

725909688 is a wasteful number, since it uses less digits than its factorization.

725909688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160058 (or 160045 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 725909688 is about 26942.7112221469. The cubic root of 725909688 is about 898.7264654163.

The spelling of 725909688 in words is "seven hundred twenty-five million, nine hundred nine thousand, six hundred eighty-eight".