211162272 has 48 divisors (see below), whose sum is σ = 556661952. Its totient is φ = 70087680.

The previous prime is 211162271. The next prime is 211162277. The reversal of 211162272 is 272261112.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (211162271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18573 + ... + 27699.

It is an arithmetic number, because the mean of its divisors is an integer number (11597124).

Almost surely, 2^211162272 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 211162272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278330976).

211162272 is an abundant number, since it is smaller than the sum of its proper divisors (345499680).

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

211162272 is a wasteful number, since it uses less digits than its factorization.

211162272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9381 (or 9373 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 211162272 is about 14531.4236054146. The cubic root of 211162272 is about 595.4867584284.

The spelling of 211162272 in words is "two hundred eleven million, one hundred sixty-two thousand, two hundred seventy-two".