72111766419 has 24 divisors (see below), whose sum is σ = 129863615232. Its totient is φ = 37460657520.

The previous prime is 72111766381. The next prime is 72111766423. The reversal of 72111766419 is 91466711127.

72111766419 is a `hidden beast` number, since 7 + 211 + 17 + 6 + 6 + 419 = 666.

It is not a de Polignac number, because 72111766419 - 2²⁸ = 71843330963 is a prime.

It is a super-2 number, since 2×72111766419² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72111766469) 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, 52027999 + ... + 52029384.

It is an arithmetic number, because the mean of its divisors is an integer number (5410983968).

Almost surely, 2^72111766419 is an apocalyptic number.

72111766419 is a deficient number, since it is larger than the sum of its proper divisors (57751848813).

72111766419 is a wasteful number, since it uses less digits than its factorization.

72111766419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104057407 (or 104057404 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The spelling of 72111766419 in words is "seventy-two billion, one hundred eleven million, seven hundred sixty-six thousand, four hundred nineteen".