73729717676137 has 2 divisors, whose sum is σ = 73729717676138. Its totient is φ = 73729717676136.

The previous prime is 73729717676093. The next prime is 73729717676161. The reversal of 73729717676137 is 73167671792737.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58414164983056 + 15315552693081 = 7642916^2 + 3913509^2 .

It is a cyclic number.

It is not a de Polignac number, because 73729717676137 - 2⁷ = 73729717676009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 73729717676137.

It is not a weakly prime, because it can be changed into another prime (73729717676177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36864858838068 + 36864858838069.

It is an arithmetic number, because the mean of its divisors is an integer number (36864858838069).

Almost surely, 2^{73729717676137} is an apocalyptic number.

It is an amenable number.

73729717676137 is a deficient number, since it is larger than the sum of its proper divisors (1).

73729717676137 is an equidigital number, since it uses as much as digits as its factorization.

73729717676137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 686128968, while the sum is 73.

The spelling of 73729717676137 in words is "seventy-three trillion, seven hundred twenty-nine billion, seven hundred seventeen million, six hundred seventy-six thousand, one hundred thirty-seven".