73679128729 has 2 divisors, whose sum is σ = 73679128730. Its totient is φ = 73679128728.

The previous prime is 73679128727. The next prime is 73679128799. The reversal of 73679128729 is 92782197637.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60967017225 + 12712111504 = 246915^2 + 112748^2 .

It is a cyclic number.

It is not a de Polignac number, because 73679128729 - 2¹ = 73679128727 is a prime.

It is a super-2 number, since 2×73679128729² (a number of 23 digits) contains 22 as substring.

Together with 73679128727, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (73679128727) 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, 36839564364 + 36839564365.

It is an arithmetic number, because the mean of its divisors is an integer number (36839564365).

Almost surely, 2^73679128729 is an apocalyptic number.

It is an amenable number.

73679128729 is a deficient number, since it is larger than the sum of its proper divisors (1).

73679128729 is an equidigital number, since it uses as much as digits as its factorization.

73679128729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16003008, while the sum is 61.

The spelling of 73679128729 in words is "seventy-three billion, six hundred seventy-nine million, one hundred twenty-eight thousand, seven hundred twenty-nine".