572832 has 120 divisors (see below), whose sum is σ = 1920996. Its totient is φ = 165888.

The previous prime is 572827. The next prime is 572833. The reversal of 572832 is 238275.

It can be written as a sum of positive squares in 2 ways, for example, as 571536 + 1296 = 756^2 + 36^2 .

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

Its product of digits (3360) is a multiple of the sum of its prime divisors (35).

It is a junction number, because it is equal to n+sod(n) for n = 572796 and 572805.

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 572832.

It is not an unprimeable number, because it can be changed into a prime (572833) by changing a digit.

572832 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 19 ways as a sum of consecutive naturals, for example, 33688 + ... + 33704.

2⁵⁷²⁸³² is an apocalyptic number.

572832 is a gapful number since it is divisible by the number (52) 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 572832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960498).

572832 is an abundant number, since it is smaller than the sum of its proper divisors (1348164).

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

572832 is a wasteful number, since it uses less digits than its factorization.

572832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 35 counting only the distinct ones).

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

The square root of 572832 is about 756.8566574986. The cubic root of 572832 is about 83.0505329284.

The spelling of 572832 in words is "five hundred seventy-two thousand, eight hundred thirty-two".