12972564 has 144 divisors (see below), whose sum is σ = 39626496. Its totient is φ = 3532800.

The previous prime is 12972563. The next prime is 12972569. The reversal of 12972564 is 46527921.

12972564 is a `hidden beast` number, since 1 + 2 + 97 + 2 + 564 = 666.

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

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

Its product of digits (30240) is a multiple of the sum of its prime factors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12972563) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 275989 + ... + 276035.

It is an arithmetic number, because the mean of its divisors is an integer number (275184).

Almost surely, 2^12972564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12972564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813248).

12972564 is an abundant number, since it is smaller than the sum of its proper divisors (26653932).

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

12972564 is a wasteful number, since it uses less digits than its factorization.

12972564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 121 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 12972564 is about 3601.7445772847. The cubic root of 12972564 is about 234.9679388885.

The spelling of 12972564 in words is "twelve million, nine hundred seventy-two thousand, five hundred sixty-four".