216072584 has 144 divisors (see below), whose sum is σ = 539337600. Its totient is φ = 79432704.

The previous prime is 216072569. The next prime is 216072587. The reversal of 216072584 is 485270612.

It is not an unprimeable number, because it can be changed into a prime (216072587) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2735057 + ... + 2735135.

It is an arithmetic number, because the mean of its divisors is an integer number (3745400).

Almost surely, 2^216072584 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 216072584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269668800).

216072584 is an abundant number, since it is smaller than the sum of its proper divisors (323265016).

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

216072584 is a wasteful number, since it uses less digits than its factorization.

216072584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 216072584 is about 14699.4076071112. The cubic root of 216072584 is about 600.0671998808.

The spelling of 216072584 in words is "two hundred sixteen million, seventy-two thousand, five hundred eighty-four".