216591072 has 48 divisors (see below), whose sum is σ = 579292560. Its totient is φ = 70833152.

The previous prime is 216591071. The next prime is 216591083. The reversal of 216591072 is 270195612.

216591072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216591071) 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, 16197 + ... + 26372.

It is an arithmetic number, because the mean of its divisors is an integer number (12068595).

Almost surely, 2^216591072 is an apocalyptic number.

It is an amenable number.

216591072 is an abundant number, since it is smaller than the sum of its proper divisors (362701488).

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

216591072 is a wasteful number, since it uses less digits than its factorization.

216591072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42635 (or 42627 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 216591072 is about 14717.0333967142. The cubic root of 216591072 is about 600.5467904379.

The spelling of 216591072 in words is "two hundred sixteen million, five hundred ninety-one thousand, seventy-two".