725596704 has 360 divisors, whose sum is σ = 2580995340. Its totient is φ = 199148544.

The previous prime is 725596699. The next prime is 725596789. The reversal of 725596704 is 407695527.

It can be written as a sum of positive squares in 2 ways, for example, as 647804304 + 77792400 = 25452^2 + 8820^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 725596704.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3683134 + ... + 3683330.

Almost surely, 2^725596704 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 725596704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290497670).

725596704 is an abundant number, since it is smaller than the sum of its proper divisors (1855398636).

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

725596704 is a wasteful number, since it uses less digits than its factorization.

725596704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 725596704 is about 26936.9022717906. The cubic root of 725596704 is about 898.5972815591.

The spelling of 725596704 in words is "seven hundred twenty-five million, five hundred ninety-six thousand, seven hundred four".