72065700013 has 2 divisors, whose sum is σ = 72065700014. Its totient is φ = 72065700012.

The previous prime is 72065699987. The next prime is 72065700043. The reversal of 72065700013 is 31000756027.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67061835369 + 5003864644 = 258963^2 + 70738^2 .

It is a cyclic number.

It is not a de Polignac number, because 72065700013 - 2¹³ = 72065691821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72065700043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36032850006 + 36032850007.

It is an arithmetic number, because the mean of its divisors is an integer number (36032850007).

Almost surely, 2^72065700013 is an apocalyptic number.

It is an amenable number.

72065700013 is a deficient number, since it is larger than the sum of its proper divisors (1).

72065700013 is an equidigital number, since it uses as much as digits as its factorization.

72065700013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8820, while the sum is 31.

The spelling of 72065700013 in words is "seventy-two billion, sixty-five million, seven hundred thousand, thirteen".