72162646760161 has 2 divisors, whose sum is σ = 72162646760162. Its totient is φ = 72162646760160.

The previous prime is 72162646760153. The next prime is 72162646760179. The reversal of 72162646760161 is 16106764626127.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70925115107025 + 1237531653136 = 8421705^2 + 1112444^2 .

It is a cyclic number.

It is not a de Polignac number, because 72162646760161 - 2³ = 72162646760153 is a prime.

It is not a weakly prime, because it can be changed into another prime (72162646700161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36081323380080 + 36081323380081.

It is an arithmetic number, because the mean of its divisors is an integer number (36081323380081).

Almost surely, 2^{72162646760161} is an apocalyptic number.

It is an amenable number.

72162646760161 is a deficient number, since it is larger than the sum of its proper divisors (1).

72162646760161 is an equidigital number, since it uses as much as digits as its factorization.

72162646760161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6096384, while the sum is 55.

The spelling of 72162646760161 in words is "seventy-two trillion, one hundred sixty-two billion, six hundred forty-six million, seven hundred sixty thousand, one hundred sixty-one".