27672 has 16 divisors (see below), whose sum is σ = 69240. Its totient is φ = 9216.

The previous prime is 27653. The next prime is 27673.

27672 is nontrivially palindromic in base 10.

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: 1153 = 27672 / (2 + 7 + 6 + 7 + 2).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27673) by changing a digit.

27672 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, 553 + ... + 600.

2²⁷⁶⁷² is an apocalyptic number.

It is an amenable number.

27672 is an abundant number, since it is smaller than the sum of its proper divisors (41568).

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 (34620).

27672 is a wasteful number, since it uses less digits than its factorization.

27672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1158 counting only the distinct ones).

The product of its digits is 1176, while the sum is 24.

The square root of 27672 is about 166.3490306554. The cubic root of 27672 is about 30.2468521188.

Multiplying 27672 by its sum of digits (24), we get a triangular number (664128 = T₁₁₅₂).

The spelling of 27672 in words is "twenty-seven thousand, six hundred seventy-two".