725929920 has 168 divisors, whose sum is σ = 2643951024. Its totient is φ = 182181888.

The previous prime is 725929891. The next prime is 725929921. The reversal of 725929920 is 29929527.

It is a happy number.

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 (725929921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41547 + ... + 56373.

Almost surely, 2^725929920 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 725929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321975512).

725929920 is an abundant number, since it is smaller than the sum of its proper divisors (1918021104).

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

725929920 is a wasteful number, since it uses less digits than its factorization.

725929920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14867 (or 14854 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 725929920 is about 26943.0866828580. The cubic root of 725929920 is about 898.7348148778.

The spelling of 725929920 in words is "seven hundred twenty-five million, nine hundred twenty-nine thousand, nine hundred twenty".