752832 has 42 divisors (see below), whose sum is σ = 2159508. Its totient is φ = 250752.

The previous prime is 752831. The next prime is 752833. The reversal of 752832 is 238257.

752832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (752831) and next prime (752833).

It is a junction number, because it is equal to n+sod(n) for n = 752796 and 752805.

It is not an unprimeable number, because it can be changed into a prime (752831) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 78 + ... + 1229.

2⁷⁵²⁸³² is an apocalyptic number.

752832 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 752832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079754).

752832 is an abundant number, since it is smaller than the sum of its proper divisors (1406676).

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

752832 is a wasteful number, since it uses less digits than its factorization.

752832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1312 counting only the distinct ones).

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

The square root of 752832 is about 867.6589191612. The cubic root of 752832 is about 90.9702434609.

The spelling of 752832 in words is "seven hundred fifty-two thousand, eight hundred thirty-two".