72233573665792 has 528 divisors, whose sum is σ = 185474805264000. Its totient is φ = 27801678643200.

The previous prime is 72233573665723. The next prime is 72233573665811. The reversal of 72233573665792 is 29756637533227.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20644060459 + ... + 20644063957.

Almost surely, 2^{72233573665792} 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 72233573665792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92737402632000).

72233573665792 is an abundant number, since it is smaller than the sum of its proper divisors (113241231598208).

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

72233573665792 is a wasteful number, since it uses less digits than its factorization.

72233573665792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3988 (or 3963 counting only the distinct ones).

The product of its digits is 600112800, while the sum is 67.

The spelling of 72233573665792 in words is "seventy-two trillion, two hundred thirty-three billion, five hundred seventy-three million, six hundred sixty-five thousand, seven hundred ninety-two".