212472 has 48 divisors (see below), whose sum is σ = 622440. Its totient is φ = 65088.

The previous prime is 212467. The next prime is 212479. The reversal of 212472 is 274212.

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 212472.

It is not an unprimeable number, because it can be changed into a prime (212479) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 823 + ... + 1049.

2²¹²⁴⁷² 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 212472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311220).

212472 is an abundant number, since it is smaller than the sum of its proper divisors (409968).

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

212472 is a wasteful number, since it uses less digits than its factorization.

212472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 245 counting only the distinct ones).

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

The square root of 212472 is about 460.9468516001. The cubic root of 212472 is about 59.6715384985.

Adding to 212472 its reverse (274212), we get a palindrome (486684).

The spelling of 212472 in words is "two hundred twelve thousand, four hundred seventy-two", and thus it is an iban number.