27772 has 12 divisors (see below), whose sum is σ = 49896. Its totient is φ = 13520.

The previous prime is 27767. The next prime is 27773.

27772 is nontrivially palindromic in base 10.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27773) by changing a digit.

27772 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, 147 + ... + 277.

It is an arithmetic number, because the mean of its divisors is an integer number (4158).

2²⁷⁷⁷² is an apocalyptic number.

It is an amenable number.

27772 is a deficient number, since it is larger than the sum of its proper divisors (22124).

27772 is a wasteful number, since it uses less digits than its factorization.

27772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 186 counting only the distinct ones).

The product of its digits is 1372, while the sum is 25.

The square root of 27772 is about 166.6493324319. The cubic root of 27772 is about 30.2832432845.

The spelling of 27772 in words is "twenty-seven thousand, seven hundred seventy-two", and thus it is an iban number.