66072564073 has 8 divisors (see below), whose sum is σ = 67947463080. Its totient is φ = 64210206720.

The previous prime is 66072564067. The next prime is 66072564079. The reversal of 66072564073 is 37046527066.

It is an interprime number because it is at equal distance from previous prime (66072564067) and next prime (66072564079).

It can be written as a sum of positive squares in 4 ways, for example, as 9138786409 + 56933777664 = 95597^2 + 238608^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-66072564073 is a prime.

It is a Duffinian number.

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

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3124728 + ... + 3145801.

It is an arithmetic number, because the mean of its divisors is an integer number (8493432885).

Almost surely, 2^66072564073 is an apocalyptic number.

It is an amenable number.

66072564073 is a deficient number, since it is larger than the sum of its proper divisors (1874899007).

66072564073 is a wasteful number, since it uses less digits than its factorization.

66072564073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6270827.

The product of its (nonzero) digits is 1270080, while the sum is 46.

The spelling of 66072564073 in words is "sixty-six billion, seventy-two million, five hundred sixty-four thousand, seventy-three".