72364877846333 has 2 divisors, whose sum is σ = 72364877846334. Its totient is φ = 72364877846332.

The previous prime is 72364877846299. The next prime is 72364877846381. The reversal of 72364877846333 is 33364877846327.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68644986441529 + 3719891404804 = 8285227^2 + 1928702^2 .

It is a cyclic number.

It is not a de Polignac number, because 72364877846333 - 2³⁸ = 72089999939389 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72364867846333) 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, 36182438923166 + 36182438923167.

It is an arithmetic number, because the mean of its divisors is an integer number (36182438923167).

Almost surely, 2^{72364877846333} is an apocalyptic number.

It is an amenable number.

72364877846333 is a deficient number, since it is larger than the sum of its proper divisors (1).

72364877846333 is an equidigital number, since it uses as much as digits as its factorization.

72364877846333 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2048385024, while the sum is 71.

The spelling of 72364877846333 in words is "seventy-two trillion, three hundred sixty-four billion, eight hundred seventy-seven million, eight hundred forty-six thousand, three hundred thirty-three".