725700 has 72 divisors (see below), whose sum is σ = 2187360. Its totient is φ = 185600.

The previous prime is 725687. The next prime is 725723. The reversal of 725700 is 7527.

It is an unprimeable number.

725700 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12271 + ... + 12329.

It is an arithmetic number, because the mean of its divisors is an integer number (30380).

2⁷²⁵⁷⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093680).

725700 is an abundant number, since it is smaller than the sum of its proper divisors (1461660).

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

725700 is a wasteful number, since it uses less digits than its factorization.

725700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 21.

The square root of 725700 is about 851.8802732779. The cubic root of 725700 is about 89.8639920994.

The spelling of 725700 in words is "seven hundred twenty-five thousand, seven hundred".