72807802996213 has 2 divisors, whose sum is σ = 72807802996214. Its totient is φ = 72807802996212.

The previous prime is 72807802996211. The next prime is 72807802996349. The reversal of 72807802996213 is 31269920870827.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67077443166724 + 5730359829489 = 8190082^2 + 2393817^2 .

It is an emirp because it is prime and its reverse (31269920870827) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72807802996213 - 2¹ = 72807802996211 is a prime.

Together with 72807802996211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72807802996211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36403901498106 + 36403901498107.

It is an arithmetic number, because the mean of its divisors is an integer number (36403901498107).

Almost surely, 2^{72807802996213} is an apocalyptic number.

It is an amenable number.

72807802996213 is a deficient number, since it is larger than the sum of its proper divisors (1).

72807802996213 is an equidigital number, since it uses as much as digits as its factorization.

72807802996213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36578304, while the sum is 64.

The spelling of 72807802996213 in words is "seventy-two trillion, eight hundred seven billion, eight hundred two million, nine hundred ninety-six thousand, two hundred thirteen".