72993393029 has 2 divisors, whose sum is σ = 72993393030. Its totient is φ = 72993393028.

The previous prime is 72993392977. The next prime is 72993393041. The reversal of 72993393029 is 92039339927.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71789164225 + 1204228804 = 267935^2 + 34702^2 .

It is a cyclic number.

It is not a de Polignac number, because 72993393029 - 2¹⁶ = 72993327493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72993393049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36496696514 + 36496696515.

It is an arithmetic number, because the mean of its divisors is an integer number (36496696515).

Almost surely, 2^72993393029 is an apocalyptic number.

It is an amenable number.

72993393029 is a deficient number, since it is larger than the sum of its proper divisors (1).

72993393029 is an equidigital number, since it uses as much as digits as its factorization.

72993393029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4960116, while the sum is 56.

The spelling of 72993393029 in words is "seventy-two billion, nine hundred ninety-three million, three hundred ninety-three thousand, twenty-nine".