725915520 has 640 divisors, whose sum is σ = 3021321600. Its totient is φ = 164229120.

The previous prime is 725915473. The next prime is 725915569. The reversal of 725915520 is 25519527.

725915520 is a `hidden beast` number, since 72 + 59 + 15 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10834527 + ... + 10834593.

It is an arithmetic number, because the mean of its divisors is an integer number (4720815).

Almost surely, 2^725915520 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 725915520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510660800).

725915520 is an abundant number, since it is smaller than the sum of its proper divisors (2295406080).

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

725915520 is a wasteful number, since it uses less digits than its factorization.

725915520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 725915520 is about 26942.8194515719. The cubic root of 725915520 is about 898.7288722165.

The spelling of 725915520 in words is "seven hundred twenty-five million, nine hundred fifteen thousand, five hundred twenty".