72626000517617 has 2 divisors, whose sum is σ = 72626000517618. Its totient is φ = 72626000517616.

The previous prime is 72626000517613. The next prime is 72626000517667. The reversal of 72626000517617 is 71671500062627.

It is an a-pointer prime, because the next prime (72626000517667) can be obtained adding 72626000517617 to its sum of digits (50).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70448475302881 + 2177525214736 = 8393359^2 + 1475644^2 .

It is an emirp because it is prime and its reverse (71671500062627) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72626000517617 - 2² = 72626000517613 is a prime.

It is not a weakly prime, because it can be changed into another prime (72626000517613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36313000258808 + 36313000258809.

It is an arithmetic number, because the mean of its divisors is an integer number (36313000258809).

Almost surely, 2^{72626000517617} is an apocalyptic number.

It is an amenable number.

72626000517617 is a deficient number, since it is larger than the sum of its proper divisors (1).

72626000517617 is an equidigital number, since it uses as much as digits as its factorization.

72626000517617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1481760, while the sum is 50.

The spelling of 72626000517617 in words is "seventy-two trillion, six hundred twenty-six billion, five hundred seventeen thousand, six hundred seventeen".