72833056 has 48 divisors (see below), whose sum is σ = 150419808. Its totient is φ = 34675200.

The previous prime is 72833053. The next prime is 72833069. The reversal of 72833056 is 65033827.

It is not an unprimeable number, because it can be changed into a prime (72833053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55771 + ... + 57061.

It is an arithmetic number, because the mean of its divisors is an integer number (3133746).

Almost surely, 2^72833056 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 72833056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75209904).

72833056 is an abundant number, since it is smaller than the sum of its proper divisors (77586752).

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

72833056 is a wasteful number, since it uses less digits than its factorization.

72833056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 72833056 is about 8534.2284947147. The cubic root of 72833056 is about 417.6150848668.

Adding to 72833056 its product of nonzero digits (30240), we get a square (72863296 = 8536²).

The spelling of 72833056 in words is "seventy-two million, eight hundred thirty-three thousand, fifty-six".