72832056 has 64 divisors (see below), whose sum is σ = 200534400. Its totient is φ = 21859200.

The previous prime is 72832037. The next prime is 72832069. The reversal of 72832056 is 65023827.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27511 + ... + 30041.

It is an arithmetic number, because the mean of its divisors is an integer number (3133350).

Almost surely, 2^72832056 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 72832056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100267200).

72832056 is an abundant number, since it is smaller than the sum of its proper divisors (127702344).

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

72832056 is a wasteful number, since it uses less digits than its factorization.

72832056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 72832056 is about 8534.1699069095. The cubic root of 72832056 is about 417.6131735690.

It can be divided in two parts, 7283 and 2056, that added together give a palindrome (9339).

The spelling of 72832056 in words is "seventy-two million, eight hundred thirty-two thousand, fifty-six".