72150065171161 has 2 divisors, whose sum is σ = 72150065171162. Its totient is φ = 72150065171160.

The previous prime is 72150065171159. The next prime is 72150065171189. The reversal of 72150065171161 is 16117156005127.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56057130611161 + 16092934560000 = 7487131^2 + 4011600^2 .

It is an emirp because it is prime and its reverse (16117156005127) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72150065171161 - 2¹ = 72150065171159 is a prime.

Together with 72150065171159, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (72150065178161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36075032585580 + 36075032585581.

It is an arithmetic number, because the mean of its divisors is an integer number (36075032585581).

Almost surely, 2^{72150065171161} is an apocalyptic number.

It is an amenable number.

72150065171161 is a deficient number, since it is larger than the sum of its proper divisors (1).

72150065171161 is an equidigital number, since it uses as much as digits as its factorization.

72150065171161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 88200, while the sum is 43.

The spelling of 72150065171161 in words is "seventy-two trillion, one hundred fifty billion, sixty-five million, one hundred seventy-one thousand, one hundred sixty-one".