12972136 has 32 divisors (see below), whose sum is σ = 26438400. Its totient is φ = 5944320.

The previous prime is 12972131. The next prime is 12972149. The reversal of 12972136 is 63127921.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 12972098 and 12972107.

It is not an unprimeable number, because it can be changed into a prime (12972131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3336 + ... + 6088.

It is an arithmetic number, because the mean of its divisors is an integer number (826200).

Almost surely, 2^12972136 is an apocalyptic number.

It is an amenable number.

12972136 is an abundant number, since it is smaller than the sum of its proper divisors (13466264).

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

12972136 is a wasteful number, since it uses less digits than its factorization.

12972136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809 (or 2805 counting only the distinct ones).

The product of its digits is 4536, while the sum is 31.

The square root of 12972136 is about 3601.6851611433. The cubic root of 12972136 is about 234.9653547840.

The spelling of 12972136 in words is "twelve million, nine hundred seventy-two thousand, one hundred thirty-six".