72364013671763 has 8 divisors (see below), whose sum is σ = 79472376212400. Its totient is φ = 65343953771680.

The previous prime is 72364013671717. The next prime is 72364013671769. The reversal of 72364013671763 is 36717631046327.

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 72364013671763 - 2¹² = 72364013667667 is a prime.

It is a super-2 number, since 2×72364013671763² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72364013671699 and 72364013671708.

It is not an unprimeable number, because it can be changed into a prime (72364013671769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22075658420 + ... + 22075661697.

It is an arithmetic number, because the mean of its divisors is an integer number (9934047026550).

Almost surely, 2^{72364013671763} is an apocalyptic number.

72364013671763 is a deficient number, since it is larger than the sum of its proper divisors (7108362540637).

72364013671763 is a wasteful number, since it uses less digits than its factorization.

72364013671763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44151320277.

The product of its (nonzero) digits is 16003008, while the sum is 56.

The spelling of 72364013671763 in words is "seventy-two trillion, three hundred sixty-four billion, thirteen million, six hundred seventy-one thousand, seven hundred sixty-three".