12156672 has 72 divisors (see below), whose sum is σ = 35320320. Its totient is φ = 3681280.

The previous prime is 12156671. The next prime is 12156701. The reversal of 12156672 is 27665121.

12156672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12156671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7729 + ... + 9167.

It is an arithmetic number, because the mean of its divisors is an integer number (490560).

Almost surely, 2^12156672 is an apocalyptic number.

12156672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12156672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17660160).

12156672 is an abundant number, since it is smaller than the sum of its proper divisors (23163648).

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

12156672 is a wasteful number, since it uses less digits than its factorization.

12156672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1455 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 12156672 is about 3486.6419374521. The cubic root of 12156672 is about 229.9349028122.

It can be divided in two parts, 1215 and 6672, that added together give a palindrome (7887).

The spelling of 12156672 in words is "twelve million, one hundred fifty-six thousand, six hundred seventy-two".