72616306706640 has 60 divisors (see below), whose sum is σ = 243869763358884. Its totient is φ = 19364348454912.

The previous prime is 72616306706621. The next prime is 72616306706651. The reversal of 72616306706640 is 4660760361627.

72616306706640 is a `hidden beast` number, since 7 + 261 + 6 + 306 + 70 + 6 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14164654851216 + 58451651855424 = 3763596^2 + 7645368^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50427990049 + ... + 50427991488.

Almost surely, 2^{72616306706640} is an apocalyptic number.

It is an amenable number.

72616306706640 is an abundant number, since it is smaller than the sum of its proper divisors (171253456652244).

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

72616306706640 is a wasteful number, since it uses less digits than its factorization.

72616306706640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100855981556 (or 100855981547 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 72616306706640 in words is "seventy-two trillion, six hundred sixteen billion, three hundred six million, seven hundred six thousand, six hundred forty".