72756761679 has 96 divisors (see below), whose sum is σ = 130438526400. Its totient is φ = 39916074240.

The previous prime is 72756761657. The next prime is 72756761713. The reversal of 72756761679 is 97616765727.

72756761679 is a `hidden beast` number, since 7 + 2 + 7 + 5 + 6 + 7 + 616 + 7 + 9 = 666.

It is not a de Polignac number, because 72756761679 - 2¹¹ = 72756759631 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72756761629) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6939189 + ... + 6949665.

It is an arithmetic number, because the mean of its divisors is an integer number (1358734650).

Almost surely, 2^72756761679 is an apocalyptic number.

72756761679 is a deficient number, since it is larger than the sum of its proper divisors (57681764721).

72756761679 is a wasteful number, since it uses less digits than its factorization.

72756761679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10710 (or 10697 counting only the distinct ones).

The product of its digits is 46675440, while the sum is 63.

The spelling of 72756761679 in words is "seventy-two billion, seven hundred fifty-six million, seven hundred sixty-one thousand, six hundred seventy-nine".