72333779328 has 128 divisors (see below), whose sum is σ = 214419708000. Its totient is φ = 24005707776.

The previous prime is 72333779299. The next prime is 72333779341. The reversal of 72333779328 is 82397733327.

72333779328 is a `hidden beast` number, since 7 + 233 + 377 + 9 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 745726 + ... + 837122.

Almost surely, 2^72333779328 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 72333779328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107209854000).

72333779328 is an abundant number, since it is smaller than the sum of its proper divisors (142085928672).

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

72333779328 is a wasteful number, since it uses less digits than its factorization.

72333779328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91649 (or 91631 counting only the distinct ones).

The product of its digits is 8001504, while the sum is 54.

The spelling of 72333779328 in words is "seventy-two billion, three hundred thirty-three million, seven hundred seventy-nine thousand, three hundred twenty-eight".