72583056 has 240 divisors, whose sum is σ = 259983360. Its totient is φ = 18385920.

The previous prime is 72583051. The next prime is 72583073. The reversal of 72583056 is 65038527.

72583056 is a `hidden beast` number, since 72 + 583 + 0 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 72583056.

It is not an unprimeable number, because it can be changed into a prime (72583051) 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 47 ways as a sum of consecutive naturals, for example, 379921 + ... + 380111.

It is an arithmetic number, because the mean of its divisors is an integer number (1083264).

Almost surely, 2^72583056 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 72583056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129991680).

72583056 is an abundant number, since it is smaller than the sum of its proper divisors (187400304).

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

72583056 is a wasteful number, since it uses less digits than its factorization.

72583056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 72583056 is about 8519.5690031832. The cubic root of 72583056 is about 417.1367148297.

The spelling of 72583056 in words is "seventy-two million, five hundred eighty-three thousand, fifty-six".