222072 has 32 divisors (see below), whose sum is σ = 585600. Its totient is φ = 69984.

The previous prime is 222067. The next prime is 222073. The reversal of 222072 is 270222.

It is a nialpdrome in base 12.

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 222072.

It is not an unprimeable number, because it can be changed into a prime (222073) 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, 213 + ... + 699.

It is an arithmetic number, because the mean of its divisors is an integer number (18300).

2²²²⁰⁷² 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 222072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292800).

222072 is an abundant number, since it is smaller than the sum of its proper divisors (363528).

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

222072 is a wasteful number, since it uses less digits than its factorization.

222072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 222072 is about 471.2451591263. The cubic root of 222072 is about 60.5570347564.

Adding to 222072 its reverse (270222), we get a palindrome (492294).

It can be divided in two parts, 2 and 22072, that multiplied together give a palindrome (44144).

The spelling of 222072 in words is "two hundred twenty-two thousand, seventy-two", and thus it is an iban number.