53072 has 20 divisors (see below), whose sum is σ = 107136. Its totient is φ = 25440.

The previous prime is 53069. The next prime is 53077. The reversal of 53072 is 27035.

53072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

53072 is an admirable number.

It is a self number, because there is not a number n which added to its sum of digits gives 53072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53077) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 443 + ... + 549.

2⁵³⁰⁷² 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 53072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53568).

53072 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

53072 is a wasteful number, since it uses less digits than its factorization.

53072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 17.

The square root of 53072 is about 230.3736095997. The cubic root of 53072 is about 37.5798594414.

The spelling of 53072 in words is "fifty-three thousand, seventy-two".