216733272 has 192 divisors, whose sum is σ = 687748320. Its totient is φ = 56512512.

The previous prime is 216733267. The next prime is 216733273. The reversal of 216733272 is 272337612.

216733272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×216733272² = 93946622383651968, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216733273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 739558 + ... + 739850.

Almost surely, 2^216733272 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 216733272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343874160).

216733272 is an abundant number, since it is smaller than the sum of its proper divisors (471015048).

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

216733272 is a wasteful number, since it uses less digits than its factorization.

216733272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 359 counting only the distinct ones).

The product of its digits is 21168, while the sum is 33.

The square root of 216733272 is about 14721.8637407089. The cubic root of 216733272 is about 600.6781887002.

The spelling of 216733272 in words is "two hundred sixteen million, seven hundred thirty-three thousand, two hundred seventy-two".