725525504 has 88 divisors (see below), whose sum is σ = 1621813536. Its totient is φ = 321536000.

The previous prime is 725525483. The next prime is 725525527. The reversal of 725525504 is 405525527.

It is a tau number, because it is divible by the number of its divisors (88).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 461039 + ... + 462609.

Almost surely, 2^725525504 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 725525504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810906768).

725525504 is an abundant number, since it is smaller than the sum of its proper divisors (896288032).

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

725525504 is a wasteful number, since it uses less digits than its factorization.

725525504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 70000, while the sum is 35.

The square root of 725525504 is about 26935.5806323161. The cubic root of 725525504 is about 898.5678886384.

The spelling of 725525504 in words is "seven hundred twenty-five million, five hundred twenty-five thousand, five hundred four".