12756 has 12 divisors (see below), whose sum is σ = 29792. Its totient is φ = 4248.

The previous prime is 12743. The next prime is 12757. The reversal of 12756 is 65721.

12756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 12756.

It is not an unprimeable number, because it can be changed into a prime (12757) by changing a digit.

12756 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, 520 + ... + 543.

2¹²⁷⁵⁶ is an apocalyptic number.

It is an amenable number.

12756 is an abundant number, since it is smaller than the sum of its proper divisors (17036).

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 (14896).

12756 is a wasteful number, since it uses less digits than its factorization.

12756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1068 counting only the distinct ones).

The product of its digits is 420, while the sum is 21.

The square root of 12756 is about 112.9424632280. The cubic root of 12756 is about 23.3653076386.

The spelling of 12756 in words is "twelve thousand, seven hundred fifty-six".