12572 has 12 divisors (see below), whose sum is σ = 25200. Its totient is φ = 5376.

The previous prime is 12569. The next prime is 12577. The reversal of 12572 is 27521.

12572 is an admirable number.

It is a self number, because there is not a number n which added to its sum of digits gives 12572.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12577) 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, 197 + ... + 252.

It is an arithmetic number, because the mean of its divisors is an integer number (2100).

2¹²⁵⁷² is an apocalyptic number.

It is an amenable number.

12572 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.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12600).

12572 is a wasteful number, since it uses less digits than its factorization.

12572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 458 counting only the distinct ones).

The product of its digits is 140, while the sum is 17.

The square root of 12572 is about 112.1249303233. The cubic root of 12572 is about 23.2524181398.

The spelling of 12572 in words is "twelve thousand, five hundred seventy-two".