52572 has 24 divisors (see below), whose sum is σ = 132496. Its totient is φ = 16128.

The previous prime is 52571. The next prime is 52579. The reversal of 52572 is 27525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52571) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13 + ... + 324.

2⁵²⁵⁷² is an apocalyptic number.

52572 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66248).

52572 is an abundant number, since it is smaller than the sum of its proper divisors (79924).

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

52572 is a wasteful number, since it uses less digits than its factorization.

52572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 355 counting only the distinct ones).

The product of its digits is 700, while the sum is 21.

The square root of 52572 is about 229.2858477970. The cubic root of 52572 is about 37.4614715395.

The spelling of 52572 in words is "fifty-two thousand, five hundred seventy-two".