725716560 has 80 divisors (see below), whose sum is σ = 2281461120. Its totient is φ = 190794240.

The previous prime is 725716543. The next prime is 725716639. The reversal of 725716560 is 65617527.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4255 + ... + 38334.

It is an arithmetic number, because the mean of its divisors is an integer number (28518264).

Almost surely, 2^725716560 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 725716560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140730560).

725716560 is an abundant number, since it is smaller than the sum of its proper divisors (1555744560).

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

725716560 is a wasteful number, since it uses less digits than its factorization.

725716560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42676 (or 42670 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 725716560 is about 26939.1269346280. The cubic root of 725716560 is about 898.6467564008.

The spelling of 725716560 in words is "seven hundred twenty-five million, seven hundred sixteen thousand, five hundred sixty".