72218129823 has 32 divisors (see below), whose sum is σ = 122427755520. Its totient is φ = 41215638240.

The previous prime is 72218129729. The next prime is 72218129827. The reversal of 72218129823 is 32892181227.

It is not a de Polignac number, because 72218129823 - 2¹⁸ = 72217867679 is a prime.

It is a super-2 number, since 2×72218129823² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72218129827) 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 in 31 ways as a sum of consecutive naturals, for example, 89083 + ... + 390348.

It is an arithmetic number, because the mean of its divisors is an integer number (3825867360).

Almost surely, 2^72218129823 is an apocalyptic number.

72218129823 is a deficient number, since it is larger than the sum of its proper divisors (50209625697).

72218129823 is a wasteful number, since it uses less digits than its factorization.

72218129823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480244 (or 480238 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 72218129823 in words is "seventy-two billion, two hundred eighteen million, one hundred twenty-nine thousand, eight hundred twenty-three".