12817872 has 40 divisors (see below), whose sum is σ = 36793280. Its totient is φ = 4272480.

The previous prime is 12817867. The next prime is 12817897. The reversal of 12817872 is 27871821.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14404 + ... + 15267.

It is an arithmetic number, because the mean of its divisors is an integer number (919832).

Almost surely, 2^12817872 is an apocalyptic number.

12817872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12817872 is an abundant number, since it is smaller than the sum of its proper divisors (23975408).

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

12817872 is a wasteful number, since it uses less digits than its factorization.

12817872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29688 (or 29676 counting only the distinct ones).

The product of its digits is 12544, while the sum is 36.

The square root of 12817872 is about 3580.2055806895. The cubic root of 12817872 is about 234.0302393531.

It can be divided in two parts, 12817 and 872, that added together give a square (13689 = 117²).

The spelling of 12817872 in words is "twelve million, eight hundred seventeen thousand, eight hundred seventy-two".