212072 has 24 divisors (see below), whose sum is σ = 463410. Its totient is φ = 90720.

The previous prime is 212057. The next prime is 212081. The reversal of 212072 is 270212.

212072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 188356 + 23716 = 434^2 + 154^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

212072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 122 + ... + 662.

2²¹²⁰⁷² 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 212072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231705).

212072 is an abundant number, since it is smaller than the sum of its proper divisors (251338).

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

212072 is a wasteful number, since it uses less digits than its factorization.

212072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 212072 is about 460.5127576952. The cubic root of 212072 is about 59.6340690760.

Adding to 212072 its reverse (270212), we get a palindrome (482284).

The spelling of 212072 in words is "two hundred twelve thousand, seventy-two", and thus it is an iban number.