72321 has 4 divisors (see below), whose sum is σ = 96432. Its totient is φ = 48212.

The previous prime is 72313. The next prime is 72337. The reversal of 72321 is 12327.

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 72321 - 2³ = 72313 is a prime.

It is a D-number.

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 72321.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72321.

It is not an unprimeable number, because it can be changed into a prime (72341) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12051 + ... + 12056.

It is an arithmetic number, because the mean of its divisors is an integer number (24108).

2⁷²³²¹ is an apocalyptic number.

It is an amenable number.

72321 is a deficient number, since it is larger than the sum of its proper divisors (24111).

72321 is a wasteful number, since it uses less digits than its factorization.

72321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24110.

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

The square root of 72321 is about 268.9256402800. The cubic root of 72321 is about 41.6634095232.

Adding to 72321 its reverse (12327), we get a palindrome (84648).

It can be divided in two parts, 72 and 321, that added together give a palindrome (393).

The spelling of 72321 in words is "seventy-two thousand, three hundred twenty-one", and thus it is an iban number.