72114311607 has 12 divisors (see below), whose sum is σ = 104117705064. Its totient is φ = 44378037600.

The previous prime is 72114311561. The next prime is 72114311623. The reversal of 72114311607 is 70611341127.

It is a happy number.

It is not a de Polignac number, because 72114311607 - 2⁶ = 72114311543 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72114316607) 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 11 ways as a sum of consecutive naturals, for example, 71118144 + ... + 71119157.

It is an arithmetic number, because the mean of its divisors is an integer number (8676475422).

Almost surely, 2^72114311607 is an apocalyptic number.

72114311607 is a deficient number, since it is larger than the sum of its proper divisors (32003393457).

72114311607 is a wasteful number, since it uses less digits than its factorization.

72114311607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142237330 (or 142237317 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The spelling of 72114311607 in words is "seventy-two billion, one hundred fourteen million, three hundred eleven thousand, six hundred seven".