725924160 has 448 divisors, whose sum is σ = 2888040960. Its totient is φ = 170311680.

The previous prime is 725924153. The next prime is 725924219. The reversal of 725924160 is 61429527.

725924160 is a `hidden beast` number, since 7 + 2 + 592 + 4 + 1 + 60 = 666.

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 63 ways as a sum of consecutive naturals, for example, 2583220 + ... + 2583500.

It is an arithmetic number, because the mean of its divisors is an integer number (6446520).

Almost surely, 2^725924160 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 725924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444020480).

725924160 is an abundant number, since it is smaller than the sum of its proper divisors (2162116800).

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

725924160 is a wasteful number, since it uses less digits than its factorization.

725924160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 725924160 is about 26942.9797906616. The cubic root of 725924160 is about 898.7324378227.

The spelling of 725924160 in words is "seven hundred twenty-five million, nine hundred twenty-four thousand, one hundred sixty".