12414672 has 60 divisors (see below), whose sum is σ = 35249604. Its totient is φ = 4078080.

The previous prime is 12414643. The next prime is 12414679. The reversal of 12414672 is 27641421.

It can be written as a sum of positive squares in 2 ways, for example, as 9511056 + 2903616 = 3084^2 + 1704^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12414679) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9922 + ... + 11102.

Almost surely, 2^12414672 is an apocalyptic number.

12414672 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 12414672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17624802).

12414672 is an abundant number, since it is smaller than the sum of its proper divisors (22834932).

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

12414672 is a wasteful number, since it uses less digits than its factorization.

12414672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1259 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 12414672 is about 3523.4460404553. The cubic root of 12414672 is about 231.5501588543.

The spelling of 12414672 in words is "twelve million, four hundred fourteen thousand, six hundred seventy-two".