725968 has 30 divisors (see below), whose sum is σ = 1503686. Its totient is φ = 339456.

The previous prime is 725953. The next prime is 725981. The reversal of 725968 is 869527.

It can be written as a sum of positive squares in 3 ways, for example, as 219024 + 506944 = 468^2 + 712^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4546 + ... + 4702.

2⁷²⁵⁹⁶⁸ 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 725968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751843).

725968 is an abundant number, since it is smaller than the sum of its proper divisors (777718).

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

725968 is a wasteful number, since it uses less digits than its factorization.

725968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 176 counting only the distinct ones).

The product of its digits is 30240, while the sum is 37.

The square root of 725968 is about 852.0375578576. The cubic root of 725968 is about 89.8750529537.

The spelling of 725968 in words is "seven hundred twenty-five thousand, nine hundred sixty-eight".