216309072 has 160 divisors (see below), whose sum is σ = 694558720. Its totient is φ = 56609280.

The previous prime is 216309029. The next prime is 216309073. The reversal of 216309072 is 270903612.

It is a super-2 number, since 2×216309072² = 93579229259002368, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216309073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197358 + ... + 198450.

It is an arithmetic number, because the mean of its divisors is an integer number (4340992).

Almost surely, 2^216309072 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 216309072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347279360).

216309072 is an abundant number, since it is smaller than the sum of its proper divisors (478249648).

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

216309072 is a wasteful number, since it uses less digits than its factorization.

216309072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 216309072 is about 14707.4495409639. The cubic root of 216309072 is about 600.2860413900.

The spelling of 216309072 in words is "two hundred sixteen million, three hundred nine thousand, seventy-two".