72680800808627 has 16 divisors (see below), whose sum is σ = 81570595972320. Its totient is φ = 64185246950400.

The previous prime is 72680800808597. The next prime is 72680800808659.

72680800808627 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 72680800808627 - 2¹² = 72680800804531 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72680800808627.

It is not an unprimeable number, because it can be changed into a prime (72680800808027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345720602 + ... + 345930767.

It is an arithmetic number, because the mean of its divisors is an integer number (5098162248270).

Almost surely, 2^{72680800808627} is an apocalyptic number.

72680800808627 is a deficient number, since it is larger than the sum of its proper divisors (8889795163693).

72680800808627 is a wasteful number, since it uses less digits than its factorization.

72680800808627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691651654.

The product of its (nonzero) digits is 28901376, while the sum is 62.

The spelling of 72680800808627 in words is "seventy-two trillion, six hundred eighty billion, eight hundred million, eight hundred eight thousand, six hundred twenty-seven".