53724 has 36 divisors (see below), whose sum is σ = 141512. Its totient is φ = 15840.

The previous prime is 53719. The next prime is 53731. The reversal of 53724 is 42735.

It is a happy number.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 53724.

It is a congruent number.

It is an unprimeable number.

53724 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, 1434 + ... + 1470.

2⁵³⁷²⁴ 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 53724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70756).

53724 is an abundant number, since it is smaller than the sum of its proper divisors (87788).

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

53724 is a wasteful number, since it uses less digits than its factorization.

53724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 53 counting only the distinct ones).

The product of its digits is 840, while the sum is 21.

The square root of 53724 is about 231.7843825628. The cubic root of 53724 is about 37.7331255078.

It can be divided in two parts, 537 and 24, that added together give a triangular number (561 = T₃₃).

The spelling of 53724 in words is "fifty-three thousand, seven hundred twenty-four".