725688 has 24 divisors (see below), whose sum is σ = 1965600. Its totient is φ = 241872.

The previous prime is 725687. The next prime is 725723. The reversal of 725688 is 886527.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725687) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4968 + ... + 5111.

It is an arithmetic number, because the mean of its divisors is an integer number (81900).

2⁷²⁵⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

725688 is an abundant number, since it is smaller than the sum of its proper divisors (1239912).

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

725688 is a wasteful number, since it uses less digits than its factorization.

725688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10091 (or 10084 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 725688 is about 851.8732300055. The cubic root of 725688 is about 89.8634967736.

The spelling of 725688 in words is "seven hundred twenty-five thousand, six hundred eighty-eight".