725832 has 48 divisors (see below), whose sum is σ = 2084940. Its totient is φ = 227328.

The previous prime is 725827. The next prime is 725861. The reversal of 725832 is 238527.

It can be written as a sum of positive squares in 2 ways, for example, as 695556 + 30276 = 834^2 + 174^2 .

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 725796 and 725805.

It is a congruent number.

It is an unprimeable number.

725832 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 928 + ... + 1520.

2⁷²⁵⁸³² is an apocalyptic number.

725832 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042470).

725832 is an abundant number, since it is smaller than the sum of its proper divisors (1359108).

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

725832 is a wasteful number, since it uses less digits than its factorization.

725832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 615 counting only the distinct ones).

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

The square root of 725832 is about 851.9577454311. The cubic root of 725832 is about 89.8694403231.

It can be divided in two parts, 72 and 5832, that multiplied together give a square (419904 = 648²).

The spelling of 725832 in words is "seven hundred twenty-five thousand, eight hundred thirty-two".