725618920 has 64 divisors (see below), whose sum is σ = 1771056000. Its totient is φ = 265966848.

The previous prime is 725618903. The next prime is 725618921. The reversal of 725618920 is 29816527.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (725618921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67261 + ... + 77299.

It is an arithmetic number, because the mean of its divisors is an integer number (27672750).

Almost surely, 2^725618920 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 725618920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885528000).

725618920 is an abundant number, since it is smaller than the sum of its proper divisors (1045437080).

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

725618920 is a wasteful number, since it uses less digits than its factorization.

725618920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10202 (or 10198 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 725618920 is about 26937.3146397335. The cubic root of 725618920 is about 898.6064524173.

The spelling of 725618920 in words is "seven hundred twenty-five million, six hundred eighteen thousand, nine hundred twenty".