12972064 has 36 divisors (see below), whose sum is σ = 29711934. Its totient is φ = 5558784.

The previous prime is 12972007. The next prime is 12972067. The reversal of 12972064 is 46027921.

It can be written as a sum of positive squares in only one way, i.e., 9659664 + 3312400 = 3108^2 + 1820^2 .

It is not an unprimeable number, because it can be changed into a prime (12972067) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2569 + ... + 5704.

Almost surely, 2^12972064 is an apocalyptic number.

12972064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12972064 is an abundant number, since it is smaller than the sum of its proper divisors (16739870).

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

12972064 is an equidigital number, since it uses as much as digits as its factorization.

12972064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8297 (or 8282 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 12972064 is about 3601.6751658083. The cubic root of 12972064 is about 234.9649200692.

Adding to 12972064 its reverse (46027921), we get a palindrome (58999985).

The spelling of 12972064 in words is "twelve million, nine hundred seventy-two thousand, sixty-four".