12879872 has 48 divisors (see below), whose sum is σ = 27190800. Its totient is φ = 6082560.

The previous prime is 12879859. The next prime is 12879883. The reversal of 12879872 is 27897821.

It is a super-2 number, since 2×12879872² = 331782205472768, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38747 + ... + 39077.

It is an arithmetic number, because the mean of its divisors is an integer number (566475).

Almost surely, 2^12879872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12879872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13595400).

12879872 is an abundant number, since it is smaller than the sum of its proper divisors (14310928).

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

12879872 is an equidigital number, since it uses as much as digits as its factorization.

12879872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 352 counting only the distinct ones).

The product of its digits is 112896, while the sum is 44.

The square root of 12879872 is about 3588.8538560382. The cubic root of 12879872 is about 234.4069670649.

The spelling of 12879872 in words is "twelve million, eight hundred seventy-nine thousand, eight hundred seventy-two".