12579672 has 96 divisors (see below), whose sum is σ = 38577600. Its totient is φ = 3398976.

The previous prime is 12579647. The next prime is 12579673. The reversal of 12579672 is 27697521.

It is a self number, because there is not a number n which added to its sum of digits gives 12579672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12579673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22063 + ... + 22625.

It is an arithmetic number, because the mean of its divisors is an integer number (401850).

Almost surely, 2^12579672 is an apocalyptic number.

12579672 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 12579672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19288800).

12579672 is an abundant number, since it is smaller than the sum of its proper divisors (25997928).

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

12579672 is a wasteful number, since it uses less digits than its factorization.

12579672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 594 counting only the distinct ones).

The product of its digits is 52920, while the sum is 39.

The square root of 12579672 is about 3546.7833314145. The cubic root of 12579672 is about 232.5714706857.

It can be divided in two parts, 125 and 79672, that added together give a palindrome (79797).

The spelling of 12579672 in words is "twelve million, five hundred seventy-nine thousand, six hundred seventy-two".