72585856 has 96 divisors (see below), whose sum is σ = 171629280. Its totient is φ = 30481920.

The previous prime is 72585839. The next prime is 72585859. The reversal of 72585856 is 65858527.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (72585859) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 445231 + ... + 445393.

It is an arithmetic number, because the mean of its divisors is an integer number (1787805).

Almost surely, 2^72585856 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 72585856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85814640).

72585856 is an abundant number, since it is smaller than the sum of its proper divisors (99043424).

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

72585856 is a wasteful number, since it uses less digits than its factorization.

72585856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 243 counting only the distinct ones).

The product of its digits is 672000, while the sum is 46.

The square root of 72585856 is about 8519.7333291600. The cubic root of 72585856 is about 417.1420786517.

It can be divided in two parts, 72585 and 856, that added together give a square (73441 = 271²).

The spelling of 72585856 in words is "seventy-two million, five hundred eighty-five thousand, eight hundred fifty-six".