211216872 has 64 divisors (see below), whose sum is σ = 549607680. Its totient is φ = 67588352.

The previous prime is 211216861. The next prime is 211216877. The reversal of 211216872 is 278612112.

211216872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211216872² = 89225134034928768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211216877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58018 + ... + 61550.

It is an arithmetic number, because the mean of its divisors is an integer number (8587620).

Almost surely, 2^211216872 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 211216872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274803840).

211216872 is an abundant number, since it is smaller than the sum of its proper divisors (338390808).

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

211216872 is a wasteful number, since it uses less digits than its factorization.

211216872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642 (or 3638 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 211216872 is about 14533.3021712204. The cubic root of 211216872 is about 595.5380787942.

Adding to 211216872 its reverse (278612112), we get a palindrome (489828984).

The spelling of 211216872 in words is "two hundred eleven million, two hundred sixteen thousand, eight hundred seventy-two".