72146642990729 has 2 divisors, whose sum is σ = 72146642990730. Its totient is φ = 72146642990728.

The previous prime is 72146642990711. The next prime is 72146642990731. The reversal of 72146642990729 is 92709924664127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45069471024400 + 27077171966329 = 6713380^2 + 5203573^2 .

It is a cyclic number.

It is not a de Polignac number, because 72146642990729 - 2²⁸ = 72146374555273 is a prime.

Together with 72146642990731, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72146642990129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36073321495364 + 36073321495365.

It is an arithmetic number, because the mean of its divisors is an integer number (36073321495365).

Almost surely, 2^{72146642990729} is an apocalyptic number.

It is an amenable number.

72146642990729 is a deficient number, since it is larger than the sum of its proper divisors (1).

72146642990729 is an equidigital number, since it uses as much as digits as its factorization.

72146642990729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 164602368, while the sum is 68.

The spelling of 72146642990729 in words is "seventy-two trillion, one hundred forty-six billion, six hundred forty-two million, nine hundred ninety thousand, seven hundred twenty-nine".