64107972 has 18 divisors (see below), whose sum is σ = 162050798. Its totient is φ = 21369312.

The previous prime is 64107971. The next prime is 64107991. The reversal of 64107972 is 27970146.

It is a happy number.

64107972 is a `hidden beast` number, since 641 + 0 + 7 + 9 + 7 + 2 = 666.

64107972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 63776196 + 331776 = 7986^2 + 576^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1780777 = 64107972 / (6 + 4 + 1 + 0 + 7 + 9 + 7 + 2).

It is not an unprimeable number, because it can be changed into a prime (64107971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 890353 + ... + 890424.

Almost surely, 2^64107972 is an apocalyptic number.

It is an amenable number.

64107972 is an abundant number, since it is smaller than the sum of its proper divisors (97942826).

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

64107972 is a wasteful number, since it uses less digits than its factorization.

64107972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780787 (or 1780782 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 64107972 is about 8006.7454062184. The cubic root of 64107972 is about 400.2248152882.

The spelling of 64107972 in words is "sixty-four million, one hundred seven thousand, nine hundred seventy-two".