213831072 has 288 divisors, whose sum is σ = 770515200. Its totient is φ = 54743040.

The previous prime is 213831071. The next prime is 213831109. The reversal of 213831072 is 270138312.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213831071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1074429 + ... + 1074627.

It is an arithmetic number, because the mean of its divisors is an integer number (2675400).

Almost surely, 2^213831072 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 213831072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385257600).

213831072 is an abundant number, since it is smaller than the sum of its proper divisors (556684128).

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

213831072 is a wasteful number, since it uses less digits than its factorization.

213831072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 213831072 is about 14622.9638582607. The cubic root of 213831072 is about 597.9849736906.

Adding to 213831072 its reverse (270138312), we get a palindrome (483969384).

The spelling of 213831072 in words is "two hundred thirteen million, eight hundred thirty-one thousand, seventy-two".