725928 has 64 divisors (see below), whose sum is σ = 2160000. Its totient is φ = 198912.

The previous prime is 725909. The next prime is 725929. The reversal of 725928 is 829527.

It is a super-2 number, since 2×725928² = 1053942922368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (725929) 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, 4798 + ... + 4946.

It is an arithmetic number, because the mean of its divisors is an integer number (33750).

2⁷²⁵⁹²⁸ 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 725928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080000).

725928 is an abundant number, since it is smaller than the sum of its proper divisors (1434072).

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

725928 is a wasteful number, since it uses less digits than its factorization.

725928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 190 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 725928 is about 852.0140843906. The cubic root of 725928 is about 89.8734022527.

It can be divided in two parts, 725 and 928, that added together give a triangular number (1653 = T₅₇).

The spelling of 725928 in words is "seven hundred twenty-five thousand, nine hundred twenty-eight".