214066272 has 96 divisors (see below), whose sum is σ = 644523264. Its totient is φ = 60940800.

The previous prime is 214066241. The next prime is 214066297. The reversal of 214066272 is 272660412.

214066272 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 (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309447 + ... + 310137.

It is an arithmetic number, because the mean of its divisors is an integer number (6713784).

Almost surely, 2^214066272 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 214066272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322261632).

214066272 is an abundant number, since it is smaller than the sum of its proper divisors (430456992).

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

214066272 is a wasteful number, since it uses less digits than its factorization.

214066272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 214066272 is about 14631.0037933151. The cubic root of 214066272 is about 598.2041412931.

The spelling of 214066272 in words is "two hundred fourteen million, sixty-six thousand, two hundred seventy-two".