214513272 has 160 divisors (see below), whose sum is σ = 645559200. Its totient is φ = 66375936.

The previous prime is 214513241. The next prime is 214513301. The reversal of 214513272 is 272315412.

214513272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 551254 + ... + 551642.

It is an arithmetic number, because the mean of its divisors is an integer number (4034745).

Almost surely, 2^214513272 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 214513272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322779600).

214513272 is an abundant number, since it is smaller than the sum of its proper divisors (431045928).

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

214513272 is a wasteful number, since it uses less digits than its factorization.

214513272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 454 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 214513272 is about 14646.2716074774. The cubic root of 214513272 is about 598.6202294877.

Adding to 214513272 its reverse (272315412), we get a palindrome (486828684).

The spelling of 214513272 in words is "two hundred fourteen million, five hundred thirteen thousand, two hundred seventy-two".