725164704 has 192 divisors, whose sum is σ = 2364888960. Its totient is φ = 214272000.

The previous prime is 725164703. The next prime is 725164721. The reversal of 725164704 is 407461527.

725164704 is a `hidden beast` number, since 7 + 2 + 5 + 1 + 647 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (725164703) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388734 + ... + 390594.

It is an arithmetic number, because the mean of its divisors is an integer number (12317130).

Almost surely, 2^725164704 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 725164704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182444480).

725164704 is an abundant number, since it is smaller than the sum of its proper divisors (1639724256).

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

725164704 is a wasteful number, since it uses less digits than its factorization.

725164704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 725164704 is about 26928.8823384856. The cubic root of 725164704 is about 898.4189129195.

The spelling of 725164704 in words is "seven hundred twenty-five million, one hundred sixty-four thousand, seven hundred four".