725524580 has 48 divisors (see below), whose sum is σ = 1682178624. Its totient is φ = 260641920.

The previous prime is 725524577. The next prime is 725524609. The reversal of 725524580 is 85425527.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1607 + ... + 38126.

It is an arithmetic number, because the mean of its divisors is an integer number (35045388).

Almost surely, 2^725524580 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 725524580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841089312).

725524580 is an abundant number, since it is smaller than the sum of its proper divisors (956654044).

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

725524580 is a wasteful number, since it uses less digits than its factorization.

725524580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39836 (or 39834 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 38.

The square root of 725524580 is about 26935.5634802764. The cubic root of 725524580 is about 898.5675071783.

The spelling of 725524580 in words is "seven hundred twenty-five million, five hundred twenty-four thousand, five hundred eighty".