725604 has 48 divisors (see below), whose sum is σ = 1935360. Its totient is φ = 209440.

The previous prime is 725603. The next prime is 725639. The reversal of 725604 is 406527.

It is a happy number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 725604.

It is not an unprimeable number, because it can be changed into a prime (725603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2917 + ... + 3155.

It is an arithmetic number, because the mean of its divisors is an integer number (40320).

2⁷²⁵⁶⁰⁴ 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 725604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967680).

725604 is an abundant number, since it is smaller than the sum of its proper divisors (1209756).

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

725604 is a wasteful number, since it uses less digits than its factorization.

725604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 725604 is about 851.8239254682. The cubic root of 725604 is about 89.8600293399.

The spelling of 725604 in words is "seven hundred twenty-five thousand, six hundred four".