65664072 has 48 divisors (see below), whose sum is σ = 178230780. Its totient is φ = 21840000.

The previous prime is 65664059. The next prime is 65664073. The reversal of 65664072 is 27046656.

65664072 is a `hidden beast` number, since 6 + 5 + 6 + 640 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63776196 + 1887876 = 7986^2 + 1374^2 .

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

It is not an unprimeable number, because it can be changed into a prime (65664073) 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, 49822 + ... + 51122.

Almost surely, 2^65664072 is an apocalyptic number.

It is an amenable number.

65664072 is an abundant number, since it is smaller than the sum of its proper divisors (112566708).

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

65664072 is a wasteful number, since it uses less digits than its factorization.

65664072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 2007 counting only the distinct ones).

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

The square root of 65664072 is about 8103.3370903597. The cubic root of 65664072 is about 403.4371962709.

The spelling of 65664072 in words is "sixty-five million, six hundred sixty-four thousand, seventy-two".