72213 has 4 divisors (see below), whose sum is σ = 96288. Its totient is φ = 48140.

The previous prime is 72211. The next prime is 72221. The reversal of 72213 is 31227.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 72213 - 2¹ = 72211 is a prime.

It is a D-number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72192 and 72201.

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 72213.

It is not an unprimeable number, because it can be changed into a prime (72211) 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 3 ways as a sum of consecutive naturals, for example, 12033 + ... + 12038.

It is an arithmetic number, because the mean of its divisors is an integer number (24072).

2⁷²²¹³ is an apocalyptic number.

It is an amenable number.

72213 is a deficient number, since it is larger than the sum of its proper divisors (24075).

72213 is a wasteful number, since it uses less digits than its factorization.

72213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24074.

The product of its digits is 84, while the sum is 15.

The square root of 72213 is about 268.7247662572. The cubic root of 72213 is about 41.6426599487.

The spelling of 72213 in words is "seventy-two thousand, two hundred thirteen".