725904 has 45 divisors (see below), whose sum is σ = 2060539. Its totient is φ = 238560.

The previous prime is 725897. The next prime is 725909. The reversal of 725904 is 409527.

The square root of 725904 is 852.

It is a perfect power (a square), and thus also a powerful number.

725904 is a `hidden beast` number, since 72 + 590 + 4 = 666.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 725904.

It is not an unprimeable number, because it can be changed into a prime (725909) by changing a digit.

725904 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 8 ways as a sum of consecutive naturals, for example, 10189 + ... + 10259.

2⁷²⁵⁹⁰⁴ is an apocalyptic number.

725904 is the 852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725904

725904 is an abundant number, since it is smaller than the sum of its proper divisors (1334635).

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

725904 is a wasteful number, since it uses less digits than its factorization.

725904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The cubic root of 725904 is about 89.8724118031.

The spelling of 725904 in words is "seven hundred twenty-five thousand, nine hundred four".