66072564072 has 96 divisors (see below), whose sum is σ = 189583130880. Its totient is φ = 20716577280.

The previous prime is 66072564067. The next prime is 66072564079. The reversal of 66072564072 is 27046527066.

66072564072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (66072564079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2216547 + ... + 2246157.

It is an arithmetic number, because the mean of its divisors is an integer number (1974824280).

Almost surely, 2^66072564072 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 66072564072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94791565440).

66072564072 is an abundant number, since it is smaller than the sum of its proper divisors (123510566808).

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

66072564072 is a wasteful number, since it uses less digits than its factorization.

66072564072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31463 (or 31456 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 66072564072 in words is "sixty-six billion, seventy-two million, five hundred sixty-four thousand, seventy-two".