12415872 has 128 divisors (see below), whose sum is σ = 39168000. Its totient is φ = 3409920.

The previous prime is 12415867. The next prime is 12415889. The reversal of 12415872 is 27851421.

12415872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83254 + ... + 83402.

It is an arithmetic number, because the mean of its divisors is an integer number (306000).

Almost surely, 2^12415872 is an apocalyptic number.

12415872 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 12415872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19584000).

12415872 is an abundant number, since it is smaller than the sum of its proper divisors (26752128).

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

12415872 is a wasteful number, since it uses less digits than its factorization.

12415872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 192 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 12415872 is about 3523.6163241761. The cubic root of 12415872 is about 231.5576191464.

The spelling of 12415872 in words is "twelve million, four hundred fifteen thousand, eight hundred seventy-two".