72983317985297 has 2 divisors, whose sum is σ = 72983317985298. Its totient is φ = 72983317985296.

The previous prime is 72983317985261. The next prime is 72983317985423. The reversal of 72983317985297 is 79258971338927.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 38708194571281 + 34275123414016 = 6221591^2 + 5854496^2 .

It is a cyclic number.

It is not a de Polignac number, because 72983317985297 - 2¹⁶ = 72983317919761 is a prime.

It is a super-2 number, since 2×72983317985297² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72983317982297) 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, 36491658992648 + 36491658992649.

It is an arithmetic number, because the mean of its divisors is an integer number (36491658992649).

Almost surely, 2^{72983317985297} is an apocalyptic number.

It is an amenable number.

72983317985297 is a deficient number, since it is larger than the sum of its proper divisors (1).

72983317985297 is an equidigital number, since it uses as much as digits as its factorization.

72983317985297 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2880541440, while the sum is 80.

The spelling of 72983317985297 in words is "seventy-two trillion, nine hundred eighty-three billion, three hundred seventeen million, nine hundred eighty-five thousand, two hundred ninety-seven".