12517872 has 40 divisors (see below), whose sum is σ = 32497920. Its totient is φ = 4152000.

The previous prime is 12517849. The next prime is 12517873. The reversal of 12517872 is 27871521.

12517872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12517873) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11529 + ... + 12567.

It is an arithmetic number, because the mean of its divisors is an integer number (812448).

Almost surely, 2^12517872 is an apocalyptic number.

12517872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12517872 is an abundant number, since it is smaller than the sum of its proper divisors (19980048).

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

12517872 is a wasteful number, since it uses less digits than its factorization.

12517872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1295 counting only the distinct ones).

The product of its digits is 7840, while the sum is 33.

The square root of 12517872 is about 3538.0604856333. The cubic root of 12517872 is about 232.1899949767.

It can be divided in two parts, 125178 and 72, that added together give a triangular number (125250 = T₅₀₀).

The spelling of 12517872 in words is "twelve million, five hundred seventeen thousand, eight hundred seventy-two".