72928114729 has 2 divisors, whose sum is σ = 72928114730. Its totient is φ = 72928114728.

The previous prime is 72928114709. The next prime is 72928114739. The reversal of 72928114729 is 92741182927.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37801858329 + 35126256400 = 194427^2 + 187420^2 .

It is an emirp because it is prime and its reverse (92741182927) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72928114729 - 2¹⁹ = 72927590441 is a prime.

It is not a weakly prime, because it can be changed into another prime (72928114709) 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, 36464057364 + 36464057365.

It is an arithmetic number, because the mean of its divisors is an integer number (36464057365).

Almost surely, 2^72928114729 is an apocalyptic number.

It is an amenable number.

72928114729 is a deficient number, since it is larger than the sum of its proper divisors (1).

72928114729 is an equidigital number, since it uses as much as digits as its factorization.

72928114729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1016064, while the sum is 52.

The spelling of 72928114729 in words is "seventy-two billion, nine hundred twenty-eight million, one hundred fourteen thousand, seven hundred twenty-nine".