223272 has 48 divisors (see below), whose sum is σ = 692640. Its totient is φ = 63648.

The previous prime is 223259. The next prime is 223273. The reversal of 223272 is 272322.

It is a super-3 number, since 3×223272³ = 33390586138258944, which contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2³ + 2⁵ + 2¹⁵ + 3¹⁰ + 7³ + 2¹⁷ .

It is not an unprimeable number, because it can be changed into a prime (223273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 283 + ... + 725.

It is an arithmetic number, because the mean of its divisors is an integer number (14430).

2²²³²⁷² 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 223272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346320).

223272 is an abundant number, since it is smaller than the sum of its proper divisors (469368).

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

223272 is a wasteful number, since it uses less digits than its factorization.

223272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 455 counting only the distinct ones).

The product of its digits is 336, while the sum is 18.

The square root of 223272 is about 472.5166663727. The cubic root of 223272 is about 60.6659152720.

Adding to 223272 its reverse (272322), we get a palindrome (495594).

It can be divided in two parts, 2232 and 72, that added together give a square (2304 = 48²).

The spelling of 223272 in words is "two hundred twenty-three thousand, two hundred seventy-two", and thus it is an iban number.