72946640824313 has 2 divisors, whose sum is σ = 72946640824314. Its totient is φ = 72946640824312.

The previous prime is 72946640824301. The next prime is 72946640824319. The reversal of 72946640824313 is 31342804664927.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51820878563584 + 21125762260729 = 7198672^2 + 4596277^2 .

It is a cyclic number.

It is not a de Polignac number, because 72946640824313 - 2¹⁶ = 72946640758777 is a prime.

It is a super-2 number, since 2×72946640824313² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72946640824319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36473320412156 + 36473320412157.

It is an arithmetic number, because the mean of its divisors is an integer number (36473320412157).

Almost surely, 2^{72946640824313} is an apocalyptic number.

It is an amenable number.

72946640824313 is a deficient number, since it is larger than the sum of its proper divisors (1).

72946640824313 is an equidigital number, since it uses as much as digits as its factorization.

72946640824313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41803776, while the sum is 59.

The spelling of 72946640824313 in words is "seventy-two trillion, nine hundred forty-six billion, six hundred forty million, eight hundred twenty-four thousand, three hundred thirteen".