72814028369 has 2 divisors, whose sum is σ = 72814028370. Its totient is φ = 72814028368.

The previous prime is 72814028341. The next prime is 72814028387. The reversal of 72814028369 is 96382041827.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65671750225 + 7142278144 = 256265^2 + 84512^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72814028369 is a prime.

It is a super-2 number, since 2×72814028369² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72814028069) 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, 36407014184 + 36407014185.

It is an arithmetic number, because the mean of its divisors is an integer number (36407014185).

Almost surely, 2^72814028369 is an apocalyptic number.

It is an amenable number.

72814028369 is a deficient number, since it is larger than the sum of its proper divisors (1).

72814028369 is an equidigital number, since it uses as much as digits as its factorization.

72814028369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1161216, while the sum is 50.

The spelling of 72814028369 in words is "seventy-two billion, eight hundred fourteen million, twenty-eight thousand, three hundred sixty-nine".