725792 has 24 divisors (see below), whose sum is σ = 1469916. Its totient is φ = 352512.

The previous prime is 725789. The next prime is 725801. The reversal of 725792 is 297527.

It can be written as a sum of positive squares in 2 ways, for example, as 712336 + 13456 = 844^2 + 116^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 725792.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 878 + ... + 1490.

2⁷²⁵⁷⁹² 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 725792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734958).

725792 is an abundant number, since it is smaller than the sum of its proper divisors (744124).

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

725792 is a wasteful number, since it uses less digits than its factorization.

725792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 652 counting only the distinct ones).

The product of its digits is 8820, while the sum is 32.

The square root of 725792 is about 851.9342697650. The cubic root of 725792 is about 89.8677894160.

The spelling of 725792 in words is "seven hundred twenty-five thousand, seven hundred ninety-two".