72167610161 has 2 divisors, whose sum is σ = 72167610162. Its totient is φ = 72167610160.

The previous prime is 72167610083. The next prime is 72167610167. The reversal of 72167610161 is 16101676127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69034409536 + 3133200625 = 262744^2 + 55975^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72167610161 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not a weakly prime, because it can be changed into another prime (72167610167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36083805080 + 36083805081.

It is an arithmetic number, because the mean of its divisors is an integer number (36083805081).

Almost surely, 2^72167610161 is an apocalyptic number.

It is an amenable number.

72167610161 is a deficient number, since it is larger than the sum of its proper divisors (1).

72167610161 is an equidigital number, since it uses as much as digits as its factorization.

72167610161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 38.

The spelling of 72167610161 in words is "seventy-two billion, one hundred sixty-seven million, six hundred ten thousand, one hundred sixty-one".