64665072 has 60 divisors (see below), whose sum is σ = 182123760. Its totient is φ = 21417984.

The previous prime is 64665071. The next prime is 64665089. The reversal of 64665072 is 27056646.

64665072 is a `hidden beast` number, since 646 + 6 + 5 + 0 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64665071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22704 + ... + 25392.

It is an arithmetic number, because the mean of its divisors is an integer number (3035396).

Almost surely, 2^64665072 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 64665072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91061880).

64665072 is an abundant number, since it is smaller than the sum of its proper divisors (117458688).

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

64665072 is a wasteful number, since it uses less digits than its factorization.

64665072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 64665072 is about 8041.4595690086. The cubic root of 64665072 is about 401.3807946971.

The spelling of 64665072 in words is "sixty-four million, six hundred sixty-five thousand, seventy-two".