72929310073 has 2 divisors, whose sum is σ = 72929310074. Its totient is φ = 72929310072.

The previous prime is 72929310071. The next prime is 72929310109. The reversal of 72929310073 is 37001392927.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36773048169 + 36156261904 = 191763^2 + 190148^2 .

It is a cyclic number.

It is not a de Polignac number, because 72929310073 - 2¹ = 72929310071 is a prime.

It is a super-3 number, since 3×72929310073³ (a number of 34 digits) contains 333 as substring.

Together with 72929310071, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (72929310071) 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, 36464655036 + 36464655037.

It is an arithmetic number, because the mean of its divisors is an integer number (36464655037).

Almost surely, 2^72929310073 is an apocalyptic number.

It is an amenable number.

72929310073 is a deficient number, since it is larger than the sum of its proper divisors (1).

72929310073 is an equidigital number, since it uses as much as digits as its factorization.

72929310073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 142884, while the sum is 43.

The spelling of 72929310073 in words is "seventy-two billion, nine hundred twenty-nine million, three hundred ten thousand, seventy-three".