72111766311 has 24 divisors (see below), whose sum is σ = 112338220176. Its totient is φ = 44311449600.

The previous prime is 72111766289. The next prime is 72111766339. The reversal of 72111766311 is 11366711127.

It is a happy number.

72111766311 is a `hidden beast` number, since 7 + 2 + 1 + 1 + 17 + 6 + 631 + 1 = 666.

It is not a de Polignac number, because 72111766311 - 2¹⁹ = 72111242023 is a prime.

It is a super-4 number, since 4×72111766311⁴ (a number of 45 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72111766361) 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 23 ways as a sum of consecutive naturals, for example, 371290 + ... + 531111.

It is an arithmetic number, because the mean of its divisors is an integer number (4680759174).

Almost surely, 2^72111766311 is an apocalyptic number.

72111766311 is a deficient number, since it is larger than the sum of its proper divisors (40226453865).

72111766311 is a wasteful number, since it uses less digits than its factorization.

72111766311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903103 (or 903100 counting only the distinct ones).

The product of its digits is 10584, while the sum is 36.

The spelling of 72111766311 in words is "seventy-two billion, one hundred eleven million, seven hundred sixty-six thousand, three hundred eleven".