725563600 has 90 divisors (see below), whose sum is σ = 1770671330. Its totient is φ = 285711360.

The previous prime is 725563591. The next prime is 725563603. The reversal of 725563600 is 6365527.

It can be written as a sum of positive squares in 9 ways, for example, as 235561104 + 490002496 = 15348^2 + 22136^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725563603) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3168286 + ... + 3168514.

Almost surely, 2^725563600 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 725563600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885335665).

725563600 is an abundant number, since it is smaller than the sum of its proper divisors (1045107730).

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

725563600 is a wasteful number, since it uses less digits than its factorization.

725563600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 34.

The square root of 725563600 is about 26936.2877917504. The cubic root of 725563600 is about 898.5836157414.

The spelling of 725563600 in words is "seven hundred twenty-five million, five hundred sixty-three thousand, six hundred".