72717000001 has 2 divisors, whose sum is σ = 72717000002. Its totient is φ = 72717000000.

The previous prime is 72716999969. The next prime is 72717000007. The reversal of 72717000001 is 10000071727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67041637776 + 5675362225 = 258924^2 + 75335^2 .

It is a cyclic number.

It is not a de Polignac number, because 72717000001 - 2⁵ = 72716999969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72717000001.

It is not a weakly prime, because it can be changed into another prime (72717000007) by changing a digit.

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 as a sum of consecutive naturals, namely, 36358500000 + 36358500001.

It is an arithmetic number, because the mean of its divisors is an integer number (36358500001).

Almost surely, 2^72717000001 is an apocalyptic number.

It is an amenable number.

72717000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

72717000001 is an equidigital number, since it uses as much as digits as its factorization.

72717000001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 686, while the sum is 25.

Adding to 72717000001 its reverse (10000071727), we get a palindrome (82717071728).

The spelling of 72717000001 in words is "seventy-two billion, seven hundred seventeen million, one", and thus it is an aban number.