725569920 has 256 divisors, whose sum is σ = 2594880000. Its totient is φ = 191600640.

The previous prime is 725569883. The next prime is 725569927. The reversal of 725569920 is 29965527.

725569920 is a `hidden beast` number, since 7 + 2 + 556 + 9 + 92 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725569927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3438615 + ... + 3438825.

It is an arithmetic number, because the mean of its divisors is an integer number (10136250).

Almost surely, 2^725569920 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 725569920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297440000).

725569920 is an abundant number, since it is smaller than the sum of its proper divisors (1869310080).

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

725569920 is a wasteful number, since it uses less digits than its factorization.

725569920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 725569920 is about 26936.4051053588. The cubic root of 725569920 is about 898.5862247624.

The spelling of 725569920 in words is "seven hundred twenty-five million, five hundred sixty-nine thousand, nine hundred twenty".