73729717676161 has 2 divisors, whose sum is σ = 73729717676162. Its totient is φ = 73729717676160.

The previous prime is 73729717676137. The next prime is 73729717676177. The reversal of 73729717676161 is 16167671792737.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46519984149136 + 27209733527025 = 6820556^2 + 5216295^2 .

It is a cyclic number.

It is not a de Polignac number, because 73729717676161 - 2²⁹ = 73729180805249 is a prime.

It is not a weakly prime, because it can be changed into another prime (73729717616161) 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, 36864858838080 + 36864858838081.

It is an arithmetic number, because the mean of its divisors is an integer number (36864858838081).

Almost surely, 2^{73729717676161} is an apocalyptic number.

It is an amenable number.

73729717676161 is a deficient number, since it is larger than the sum of its proper divisors (1).

73729717676161 is an equidigital number, since it uses as much as digits as its factorization.

73729717676161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 196036848, while the sum is 70.

The spelling of 73729717676161 in words is "seventy-three trillion, seven hundred twenty-nine billion, seven hundred seventeen million, six hundred seventy-six thousand, one hundred sixty-one".