212534272 has 88 divisors (see below), whose sum is σ = 466470360. Its totient is φ = 96337920.

The previous prime is 212534261. The next prime is 212534279. The reversal of 212534272 is 272435212.

It can be written as a sum of positive squares in 4 ways, for example, as 7929856 + 204604416 = 2816^2 + 14304^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 212534272.

It is not an unprimeable number, because it can be changed into a prime (212534279) 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, 504622 + ... + 505042.

Almost surely, 2^212534272 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 212534272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233235180).

212534272 is an abundant number, since it is smaller than the sum of its proper divisors (253936088).

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

212534272 is a wasteful number, since it uses less digits than its factorization.

212534272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 469 counting only the distinct ones).

The product of its digits is 6720, while the sum is 28.

The square root of 212534272 is about 14578.5552096221. Note that the first 3 decimals coincide. The cubic root of 212534272 is about 596.7736750674.

Adding to 212534272 its reverse (272435212), we get a palindrome (484969484).

The spelling of 212534272 in words is "two hundred twelve million, five hundred thirty-four thousand, two hundred seventy-two".