12726 has 24 divisors (see below), whose sum is σ = 31824. Its totient is φ = 3600.

The previous prime is 12721. The next prime is 12739. The reversal of 12726 is 62721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12699 and 12708.

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 12726.

It is not an unprimeable number, because it can be changed into a prime (12721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76 + ... + 176.

It is an arithmetic number, because the mean of its divisors is an integer number (1326).

2¹²⁷²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15912).

12726 is an abundant number, since it is smaller than the sum of its proper divisors (19098).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12726 is a wasteful number, since it uses less digits than its factorization.

With its successor (12727) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (113).

12726 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 113 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 12726 is about 112.8095740618. The cubic root of 12726 is about 23.3469761486.

12726 divided by its sum of digits (18) gives a palindrome (707).

It can be divided in two parts, 127 and 26, that added together give a triangular number (153 = T₁₇).

The spelling of 12726 in words is "twelve thousand, seven hundred twenty-six".