725658624 has 132 divisors (see below), whose sum is σ = 2126751120. Its totient is φ = 238264320.

The previous prime is 725658607. The next prime is 725658667. The reversal of 725658624 is 426856527.

725658624 is a `hidden beast` number, since 7 + 2 + 565 + 86 + 2 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 725658624.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 653782 + ... + 654890.

Almost surely, 2^725658624 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 725658624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063375560).

725658624 is an abundant number, since it is smaller than the sum of its proper divisors (1401092496).

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

725658624 is a wasteful number, since it uses less digits than its factorization.

725658624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1185 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 725658624 is about 26938.0515999209. The cubic root of 725658624 is about 898.6228419293.

The spelling of 725658624 in words is "seven hundred twenty-five million, six hundred fifty-eight thousand, six hundred twenty-four".