56724 has 24 divisors (see below), whose sum is σ = 137760. Its totient is φ = 18144.

The previous prime is 56713. The next prime is 56731. The reversal of 56724 is 42765.

It is a happy number.

It is a super-2 number, since 2×56724² = 6435224352, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 56694 and 56703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 267 + ... + 429.

It is an arithmetic number, because the mean of its divisors is an integer number (5740).

2⁵⁶⁷²⁴ 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 56724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68880).

56724 is an abundant number, since it is smaller than the sum of its proper divisors (81036).

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

56724 is a wasteful number, since it uses less digits than its factorization.

56724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 197 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 56724 is about 238.1680079272. The cubic root of 56724 is about 38.4227946259.

It can be divided in two parts, 56 and 724, that added together give a triangular number (780 = T₃₉).

The spelling of 56724 in words is "fifty-six thousand, seven hundred twenty-four".