72065667102089 has 2 divisors, whose sum is σ = 72065667102090. Its totient is φ = 72065667102088.

The previous prime is 72065667102071. The next prime is 72065667102131. The reversal of 72065667102089 is 98020176656027.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58439786846464 + 13625880255625 = 7644592^2 + 3691325^2 .

It is a cyclic number.

It is not a de Polignac number, because 72065667102089 - 2¹² = 72065667097993 is a prime.

It is a super-2 number, since 2×72065667102089² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72065667102889) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36032833551044 + 36032833551045.

It is an arithmetic number, because the mean of its divisors is an integer number (36032833551045).

Almost surely, 2^{72065667102089} is an apocalyptic number.

It is an amenable number.

72065667102089 is a deficient number, since it is larger than the sum of its proper divisors (1).

72065667102089 is an equidigital number, since it uses as much as digits as its factorization.

72065667102089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15240960, while the sum is 59.

The spelling of 72065667102089 in words is "seventy-two trillion, sixty-five billion, six hundred sixty-seven million, one hundred two thousand, eighty-nine".