72364877846327 has 8 divisors (see below), whose sum is σ = 78946805224080. Its totient is φ = 65783500821760.

The previous prime is 72364877846299. The next prime is 72364877846333.

72364877846327 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72364877846327 - 2⁴⁰ = 71265366218551 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72364877846827) 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 in 7 ways as a sum of consecutive naturals, for example, 137313338 + ... + 137839335.

It is an arithmetic number, because the mean of its divisors is an integer number (9868350653010).

Almost surely, 2^{72364877846327} is an apocalyptic number.

72364877846327 is a deficient number, since it is larger than the sum of its proper divisors (6581927377753).

72364877846327 is a wasteful number, since it uses less digits than its factorization.

72364877846327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275176593.

The product of its digits is 3186376704, while the sum is 74.

The spelling of 72364877846327 in words is "seventy-two trillion, three hundred sixty-four billion, eight hundred seventy-seven million, eight hundred forty-six thousand, three hundred twenty-seven".