72067116128 has 144 divisors (see below), whose sum is σ = 175011263280. Its totient is φ = 29045108736.

The previous prime is 72067116083. The next prime is 72067116131. The reversal of 72067116128 is 82161176027.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4072676 + ... + 4090332.

It is an arithmetic number, because the mean of its divisors is an integer number (1215355995).

Almost surely, 2^72067116128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72067116128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87505631640).

72067116128 is an abundant number, since it is smaller than the sum of its proper divisors (102944147152).

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

72067116128 is a wasteful number, since it uses less digits than its factorization.

72067116128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17837 (or 17822 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 41.

The spelling of 72067116128 in words is "seventy-two billion, sixty-seven million, one hundred sixteen thousand, one hundred twenty-eight".