12372864 has 64 divisors (see below), whose sum is σ = 37568640. Its totient is φ = 3534336.

The previous prime is 12372859. The next prime is 12372887. The reversal of 12372864 is 46827321.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

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, 387 + ... + 4989.

It is an arithmetic number, because the mean of its divisors is an integer number (587010).

Almost surely, 2^12372864 is an apocalyptic number.

12372864 is a gapful number since it is divisible by the number (14) 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 12372864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18784320).

12372864 is an abundant number, since it is smaller than the sum of its proper divisors (25195776).

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

12372864 is an equidigital number, since it uses as much as digits as its factorization.

12372864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4627 (or 4615 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 12372864 is about 3517.5082089456. The cubic root of 12372864 is about 231.2899415791.

The spelling of 12372864 in words is "twelve million, three hundred seventy-two thousand, eight hundred sixty-four".