72117890363 has 16 divisors (see below), whose sum is σ = 74382105600. Its totient is φ = 69881540064.

The previous prime is 72117890333. The next prime is 72117890407. The reversal of 72117890363 is 36309871127.

It is a cyclic number.

It is not a de Polignac number, because 72117890363 - 2²⁰ = 72116841787 is a prime.

It is a super-2 number, since 2×72117890363² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72117890333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5522720 + ... + 5535762.

It is an arithmetic number, because the mean of its divisors is an integer number (4648881600).

Almost surely, 2^72117890363 is an apocalyptic number.

72117890363 is a deficient number, since it is larger than the sum of its proper divisors (2264215237).

72117890363 is a wasteful number, since it uses less digits than its factorization.

72117890363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14098.

The product of its (nonzero) digits is 381024, while the sum is 47.

The spelling of 72117890363 in words is "seventy-two billion, one hundred seventeen million, eight hundred ninety thousand, three hundred sixty-three".