725322624 has 256 divisors, whose sum is σ = 2211686400. Its totient is φ = 209018880.

The previous prime is 725322589. The next prime is 725322679. The reversal of 725322624 is 426223527.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6654282 + ... + 6654390.

It is an arithmetic number, because the mean of its divisors is an integer number (8639400).

Almost surely, 2^725322624 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 725322624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105843200).

725322624 is an abundant number, since it is smaller than the sum of its proper divisors (1486363776).

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

725322624 is a wasteful number, since it uses less digits than its factorization.

725322624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 201 counting only the distinct ones).

The product of its digits is 40320, while the sum is 33.

The square root of 725322624 is about 26931.8143466050. The cubic root of 725322624 is about 898.4841247792.

The spelling of 725322624 in words is "seven hundred twenty-five million, three hundred twenty-two thousand, six hundred twenty-four".