214272 has 72 divisors (see below), whose sum is σ = 654080. Its totient is φ = 69120.

The previous prime is 214259. The next prime is 214283. The reversal of 214272 is 272412.

214272 is digitally balanced in base 3, 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 (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

Its product of digits (224) is a multiple of the sum of its prime factors (56).

It is a nialpdrome in base 6 and base 12.

It is a congruent number.

It is an unprimeable number.

214272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6897 + ... + 6927.

2²¹⁴²⁷² 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 214272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327040).

214272 is an abundant number, since it is smaller than the sum of its proper divisors (439808).

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

214272 is an equidigital number, since it uses as much as digits as its factorization.

214272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 36 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 214272 is about 462.8952365277. The cubic root of 214272 is about 59.8395714269.

Adding to 214272 its reverse (272412), we get a palindrome (486684).

The spelling of 214272 in words is "two hundred fourteen thousand, two hundred seventy-two", and thus it is an iban number.