725877504 has 144 divisors (see below), whose sum is σ = 2341933440. Its totient is φ = 219939840.

The previous prime is 725877499. The next prime is 725877521. The reversal of 725877504 is 405778527.

725877504 is a `hidden beast` number, since 72 + 5 + 8 + 77 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 725877504.

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, 71259 + ... + 80805.

Almost surely, 2^725877504 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 725877504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170966720).

725877504 is an abundant number, since it is smaller than the sum of its proper divisors (1616055936).

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

725877504 is a wasteful number, since it uses less digits than its factorization.

725877504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9583 (or 9563 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The square root of 725877504 is about 26942.1139482410. The cubic root of 725877504 is about 898.7131832131.

The spelling of 725877504 in words is "seven hundred twenty-five million, eight hundred seventy-seven thousand, five hundred four".