12436872 has 64 divisors (see below), whose sum is σ = 35817600. Its totient is φ = 3525120.

The previous prime is 12436867. The next prime is 12436873. The reversal of 12436872 is 27863421.

12436872 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

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

12436872 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (12436873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30204 + ... + 30612.

It is an arithmetic number, because the mean of its divisors is an integer number (559650).

Almost surely, 2^12436872 is an apocalyptic number.

12436872 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 12436872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17908800).

12436872 is an abundant number, since it is smaller than the sum of its proper divisors (23380728).

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

12436872 is a wasteful number, since it uses less digits than its factorization.

12436872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 602 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 12436872 is about 3526.5949583132. The cubic root of 12436872 is about 231.6880965172.

The spelling of 12436872 in words is "twelve million, four hundred thirty-six thousand, eight hundred seventy-two".