211318272 has 180 divisors, whose sum is σ = 672131460. Its totient is φ = 63866880.

The previous prime is 211318243. The next prime is 211318333. The reversal of 211318272 is 272813112.

211318272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 557379 + ... + 557757.

Almost surely, 2^211318272 is an apocalyptic number.

211318272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211318272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336065730).

211318272 is an abundant number, since it is smaller than the sum of its proper divisors (460813188).

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

211318272 is a wasteful number, since it uses less digits than its factorization.

211318272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 395 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 211318272 is about 14536.7902922206. The cubic root of 211318272 is about 595.6333645853.

It can be divided in two parts, 21131 and 8272, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 211318272 in words is "two hundred eleven million, three hundred eighteen thousand, two hundred seventy-two".