216214272 has 90 divisors (see below), whose sum is σ = 644773668. Its totient is φ = 72064512.

The previous prime is 216214249. The next prime is 216214307. The reversal of 216214272 is 272412612.

216214272 is a `hidden beast` number, since 216 + 21 + 427 + 2 = 666.

It is a super-2 number, since 2×216214272² = 93497222832979968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 15523 + ... + 25949.

Almost surely, 2^216214272 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 216214272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322386834).

216214272 is an abundant number, since it is smaller than the sum of its proper divisors (428559396).

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

216214272 is an equidigital number, since it uses as much as digits as its factorization.

216214272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10455 (or 10432 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 216214272 is about 14704.2263312287. The cubic root of 216214272 is about 600.1983344319.

Adding to 216214272 its reverse (272412612), we get a palindrome (488626884).

The spelling of 216214272 in words is "two hundred sixteen million, two hundred fourteen thousand, two hundred seventy-two".