72833288 has 48 divisors (see below), whose sum is σ = 152481840. Its totient is φ = 32582880.

The previous prime is 72833281. The next prime is 72833303. The reversal of 72833288 is 88233827.

It is not an unprimeable number, because it can be changed into a prime (72833281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64295 + ... + 65417.

It is an arithmetic number, because the mean of its divisors is an integer number (3176705).

Almost surely, 2^72833288 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 72833288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76240920).

72833288 is an abundant number, since it is smaller than the sum of its proper divisors (79648552).

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

72833288 is a wasteful number, since it uses less digits than its factorization.

72833288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1203 counting only the distinct ones).

The product of its digits is 129024, while the sum is 41.

The square root of 72833288 is about 8534.2420870280. The cubic root of 72833288 is about 417.6155282854.

The spelling of 72833288 in words is "seventy-two million, eight hundred thirty-three thousand, two hundred eighty-eight".