12457872 has 120 divisors (see below), whose sum is σ = 42247296. Its totient is φ = 3345408.

The previous prime is 12457871. The next prime is 12457897. The reversal of 12457872 is 27875421.

12457872 is a `hidden beast` number, since 12 + 4 + 578 + 72 = 666.

12457872 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

12457872 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (12457871) 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, 16773 + ... + 17499.

Almost surely, 2^12457872 is an apocalyptic number.

12457872 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 12457872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21123648).

12457872 is an abundant number, since it is smaller than the sum of its proper divisors (29789424).

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

12457872 is a wasteful number, since it uses less digits than its factorization.

12457872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 756 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 12457872 is about 3529.5710787573. The cubic root of 12457872 is about 231.8184270942.

The spelling of 12457872 in words is "twelve million, four hundred fifty-seven thousand, eight hundred seventy-two".