72133383168 has 704 divisors, whose sum is σ = 275179683840. Its totient is φ = 18114969600.

The previous prime is 72133383163. The next prime is 72133383181. The reversal of 72133383168 is 86138333127.

It is a tau number, because it is divible by the number of its divisors (704).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72133383163) 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 63 ways as a sum of consecutive naturals, for example, 65995230 + ... + 65996322.

Almost surely, 2^72133383168 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 72133383168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137589841920).

72133383168 is an abundant number, since it is smaller than the sum of its proper divisors (203046300672).

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

72133383168 is a wasteful number, since it uses less digits than its factorization.

72133383168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1147 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 72133383168 in words is "seventy-two billion, one hundred thirty-three million, three hundred eighty-three thousand, one hundred sixty-eight".