72744823097893 has 2 divisors, whose sum is σ = 72744823097894. Its totient is φ = 72744823097892.

The previous prime is 72744823097819. The next prime is 72744823097971. The reversal of 72744823097893 is 39879032844727.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67494226647169 + 5250596450724 = 8215487^2 + 2291418^2 .

It is a cyclic number.

It is not a de Polignac number, because 72744823097893 - 2³³ = 72736233163301 is a prime.

It is a super-2 number, since 2×72744823097893² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72744823097993) 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, 36372411548946 + 36372411548947.

It is an arithmetic number, because the mean of its divisors is an integer number (36372411548947).

Almost surely, 2^{72744823097893} is an apocalyptic number.

It is an amenable number.

72744823097893 is a deficient number, since it is larger than the sum of its proper divisors (1).

72744823097893 is an equidigital number, since it uses as much as digits as its factorization.

72744823097893 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024192512, while the sum is 73.

The spelling of 72744823097893 in words is "seventy-two trillion, seven hundred forty-four billion, eight hundred twenty-three million, ninety-seven thousand, eight hundred ninety-three".