212353272 has 128 divisors (see below), whose sum is σ = 632160000. Its totient is φ = 65847168.

The previous prime is 212353241. The next prime is 212353313. The reversal of 212353272 is 272353212.

It is a happy number.

212353272 is a `hidden beast` number, since 2 + 123 + 532 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241698 + ... + 242574.

It is an arithmetic number, because the mean of its divisors is an integer number (4938750).

Almost surely, 2^212353272 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 212353272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316080000).

212353272 is an abundant number, since it is smaller than the sum of its proper divisors (419806728).

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

212353272 is a wasteful number, since it uses less digits than its factorization.

212353272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 960 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 212353272 is about 14572.3461391775. The cubic root of 212353272 is about 596.6042173577.

The spelling of 212353272 in words is "two hundred twelve million, three hundred fifty-three thousand, two hundred seventy-two".