27572 has 12 divisors (see below), whose sum is σ = 49476. Its totient is φ = 13440.

The previous prime is 27551. The next prime is 27581.

27572 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 676 + 26896 = 26^2 + 164^2 .

27572 is an undulating number in base 15.

It is a congruent number.

It is an unprimeable number.

27572 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 188 + ... + 300.

It is an arithmetic number, because the mean of its divisors is an integer number (4123).

2²⁷⁵⁷² is an apocalyptic number.

It is an amenable number.

27572 is a deficient number, since it is larger than the sum of its proper divisors (21904).

27572 is a wasteful number, since it uses less digits than its factorization.

27572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 176 counting only the distinct ones).

The product of its digits is 980, while the sum is 23.

The square root of 27572 is about 166.0481857775. The cubic root of 27572 is about 30.2103731744.

The spelling of 27572 in words is "twenty-seven thousand, five hundred seventy-two".