12772 has 12 divisors (see below), whose sum is σ = 23296. Its totient is φ = 6120.

The previous prime is 12763. The next prime is 12781. The reversal of 12772 is 27721.

12772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12763) and next prime (12781).

It is a nialpdrome in base 11.

It is an unprimeable number.

12772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 73 + ... + 175.

2¹²⁷⁷² is an apocalyptic number.

It is an amenable number.

12772 is a deficient number, since it is larger than the sum of its proper divisors (10524).

12772 is a wasteful number, since it uses less digits than its factorization.

12772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 136 counting only the distinct ones).

The product of its digits is 196, while the sum is 19.

The square root of 12772 is about 113.0132735567. The cubic root of 12772 is about 23.3750726832.

It can be divided in two parts, 12 and 772, that added together give a square (784 = 28²).

The spelling of 12772 in words is "twelve thousand, seven hundred seventy-two", and thus it is an iban number.