52872 has 16 divisors (see below), whose sum is σ = 132240. Its totient is φ = 17616.

The previous prime is 52861. The next prime is 52879. The reversal of 52872 is 27825.

52872 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 2203 = 52872 / (5 + 2 + 8 + 7 + 2).

It is not an unprimeable number, because it can be changed into a prime (52879) by changing a digit.

52872 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 3 ways as a sum of consecutive naturals, for example, 1078 + ... + 1125.

It is an arithmetic number, because the mean of its divisors is an integer number (8265).

2⁵²⁸⁷² is an apocalyptic number.

It is an amenable number.

52872 is an abundant number, since it is smaller than the sum of its proper divisors (79368).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66120).

52872 is a wasteful number, since it uses less digits than its factorization.

52872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2208 counting only the distinct ones).

The product of its digits is 1120, while the sum is 24.

The square root of 52872 is about 229.9391223781. The cubic root of 52872 is about 37.5325938844.

The spelling of 52872 in words is "fifty-two thousand, eight hundred seventy-two".