72122666016 has 48 divisors (see below), whose sum is σ = 190812754944. Its totient is φ = 23851586304.

The previous prime is 72122666009. The next prime is 72122666017. The reversal of 72122666016 is 61066622127.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (72122666017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2945595 + ... + 2969978.

It is an arithmetic number, because the mean of its divisors is an integer number (3975265728).

Almost surely, 2^72122666016 is an apocalyptic number.

It is an amenable number.

72122666016 is an abundant number, since it is smaller than the sum of its proper divisors (118690088928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72122666016 is a wasteful number, since it uses less digits than its factorization.

72122666016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5915713 (or 5915705 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 72122666016 in words is "seventy-two billion, one hundred twenty-two million, six hundred sixty-six thousand, sixteen".