211870272 has 56 divisors (see below), whose sum is σ = 565867296. Its totient is φ = 69956608.

The previous prime is 211870261. The next prime is 211870289. The reversal of 211870272 is 272078112.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15388 + ... + 25700.

Almost surely, 2^211870272 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 211870272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282933648).

211870272 is an abundant number, since it is smaller than the sum of its proper divisors (353997024).

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

211870272 is a wasteful number, since it uses less digits than its factorization.

211870272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10435 (or 10425 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 211870272 is about 14555.7642190302. The cubic root of 211870272 is about 596.1515462262.

It can be divided in two parts, 2118 and 70272, that added together give a triangular number (72390 = T₃₈₀).

The spelling of 211870272 in words is "two hundred eleven million, eight hundred seventy thousand, two hundred seventy-two".