64972512 has 72 divisors (see below), whose sum is σ = 201572280. Its totient is φ = 19687680.

The previous prime is 64972507. The next prime is 64972529. The reversal of 64972512 is 21527946.

64972512 is a `hidden beast` number, since 649 + 7 + 2 + 5 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7087 + ... + 13422.

It is an arithmetic number, because the mean of its divisors is an integer number (2799615).

Almost surely, 2^64972512 is an apocalyptic number.

It is an amenable number.

64972512 is an abundant number, since it is smaller than the sum of its proper divisors (136599768).

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

64972512 is a wasteful number, since it uses less digits than its factorization.

64972512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20536 (or 20525 counting only the distinct ones).

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

The square root of 64972512 is about 8060.5528346386. The cubic root of 64972512 is about 402.0158900677.

It can be divided in two parts, 6497 and 2512, that added together give a palindrome (9009).

The spelling of 64972512 in words is "sixty-four million, nine hundred seventy-two thousand, five hundred twelve".