725578560 has 672 divisors, whose sum is σ = 3124273152. Its totient is φ = 156764160.

The previous prime is 725578549. The next prime is 725578573. The reversal of 725578560 is 65875527.

725578560 is a `hidden beast` number, since 7 + 25 + 578 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16873899 + ... + 16873941.

It is an arithmetic number, because the mean of its divisors is an integer number (4649216).

Almost surely, 2^725578560 is an apocalyptic number.

725578560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562136576).

725578560 is an abundant number, since it is smaller than the sum of its proper divisors (2398694592).

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

725578560 is a wasteful number, since it uses less digits than its factorization.

725578560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The square root of 725578560 is about 26936.5654826297. The cubic root of 725578560 is about 898.5897915008.

The spelling of 725578560 in words is "seven hundred twenty-five million, five hundred seventy-eight thousand, five hundred sixty".