12564072 has 96 divisors (see below), whose sum is σ = 36953280. Its totient is φ = 3991680.

The previous prime is 12564061. The next prime is 12564077. The reversal of 12564072 is 27046521.

12564072 is a `hidden beast` number, since 1 + 256 + 407 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12564077) 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, 44572 + ... + 44852.

It is an arithmetic number, because the mean of its divisors is an integer number (384930).

Almost surely, 2^12564072 is an apocalyptic number.

12564072 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 12564072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18476640).

12564072 is an abundant number, since it is smaller than the sum of its proper divisors (24389208).

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

12564072 is a wasteful number, since it uses less digits than its factorization.

12564072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 12564072 is about 3544.5834734140. The cubic root of 12564072 is about 232.4752939408.

The spelling of 12564072 in words is "twelve million, five hundred sixty-four thousand, seventy-two".