53712 has 30 divisors (see below), whose sum is σ = 150722. Its totient is φ = 17856.

The previous prime is 53699. The next prime is 53717. The reversal of 53712 is 21735.

It can be written as a sum of positive squares in only one way, i.e., 46656 + 7056 = 216^2 + 84^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 53712.

It is not an unprimeable number, because it can be changed into a prime (53717) by changing a digit.

53712 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43 + ... + 330.

2⁵³⁷¹² 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 53712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75361).

53712 is an abundant number, since it is smaller than the sum of its proper divisors (97010).

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

53712 is a wasteful number, since it uses less digits than its factorization.

53712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 378 counting only the distinct ones).

The product of its digits is 210, while the sum is 18.

The square root of 53712 is about 231.7584949899. The cubic root of 53712 is about 37.7303158931.

The spelling of 53712 in words is "fifty-three thousand, seven hundred twelve".