72762040272217 has 2 divisors, whose sum is σ = 72762040272218. Its totient is φ = 72762040272216.

The previous prime is 72762040272179. The next prime is 72762040272227. The reversal of 72762040272217 is 71227204026727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40108712924736 + 32653327347481 = 6333144^2 + 5714309^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72762040272217 is a prime.

It is not a weakly prime, because it can be changed into another prime (72762040272227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36381020136108 + 36381020136109.

It is an arithmetic number, because the mean of its divisors is an integer number (36381020136109).

Almost surely, 2^{72762040272217} is an apocalyptic number.

It is an amenable number.

72762040272217 is a deficient number, since it is larger than the sum of its proper divisors (1).

72762040272217 is an equidigital number, since it uses as much as digits as its factorization.

72762040272217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1843968, while the sum is 49.

The spelling of 72762040272217 in words is "seventy-two trillion, seven hundred sixty-two billion, forty million, two hundred seventy-two thousand, two hundred seventeen".