472212 has 36 divisors (see below), whose sum is σ = 1286740. Its totient is φ = 145152.

The previous prime is 472193. The next prime is 472247. The reversal of 472212 is 212274.

It can be written as a sum of positive squares in 2 ways, for example, as 104976 + 367236 = 324^2 + 606^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 472212.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37 + ... + 972.

2⁴⁷²²¹² 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 472212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643370).

472212 is an abundant number, since it is smaller than the sum of its proper divisors (814528).

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

472212 is a wasteful number, since it uses less digits than its factorization.

472212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1027 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 472212 is about 687.1768331369. The cubic root of 472212 is about 77.8715835676.

Adding to 472212 its reverse (212274), we get a palindrome (684486).

The spelling of 472212 in words is "four hundred seventy-two thousand, two hundred twelve", and thus it is an iban number.