72223 has 2 divisors, whose sum is σ = 72224. Its totient is φ = 72222.

The previous prime is 72221. The next prime is 72227. The reversal of 72223 is 32227.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 72223 - 2¹ = 72221 is a prime.

Together with 72221, it forms a pair of twin primes.

72223 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 72197 and 72206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36111 + 36112.

It is an arithmetic number, because the mean of its divisors is an integer number (36112).

2⁷²²²³ is an apocalyptic number.

72223 is a deficient number, since it is larger than the sum of its proper divisors (1).

72223 is an equidigital number, since it uses as much as digits as its factorization.

72223 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 168, while the sum is 16.

The square root of 72223 is about 268.7433720113. The cubic root of 72223 is about 41.6445820743.

It can be divided in two parts, 7222 and 3, that added together give a square (7225 = 85²).

The spelling of 72223 in words is "seventy-two thousand, two hundred twenty-three", and thus it is an iban number.