52272 has 60 divisors (see below), whose sum is σ = 164920. Its totient is φ = 15840.

The previous prime is 52267. The next prime is 52289. The reversal of 52272 is 27225.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4747 + ... + 4757.

2⁵²²⁷² 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 52272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82460).

52272 is an abundant number, since it is smaller than the sum of its proper divisors (112648).

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

52272 is a wasteful number, since it uses less digits than its factorization.

52272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 16 counting only the distinct ones).

The product of its digits is 280, while the sum is 18.

The square root of 52272 is about 228.6307065991. The cubic root of 52272 is about 37.3900781062.

Adding to 52272 its reverse (27225), we get a palindrome (79497).

It can be divided in two parts, 52 and 272, that added together give a square (324 = 18²).

The spelling of 52272 in words is "fifty-two thousand, two hundred seventy-two".