725328 has 80 divisors (see below), whose sum is σ = 2202240. Its totient is φ = 228096.

The previous prime is 725327. The next prime is 725341. The reversal of 725328 is 823527.

It is a super-2 number, since 2×725328² = 1052201415168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 725328.

It is not an unprimeable number, because it can be changed into a prime (725321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9900 + ... + 9972.

It is an arithmetic number, because the mean of its divisors is an integer number (27528).

2⁷²⁵³²⁸ 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 725328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101120).

725328 is an abundant number, since it is smaller than the sum of its proper divisors (1476912).

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

725328 is a wasteful number, since it uses less digits than its factorization.

725328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 101 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 725328 is about 851.6619047486. The cubic root of 725328 is about 89.8486344591.

The spelling of 725328 in words is "seven hundred twenty-five thousand, three hundred twenty-eight".