73320 has 64 divisors (see below), whose sum is σ = 241920. Its totient is φ = 17664.

The previous prime is 73309. The next prime is 73327. The reversal of 73320 is 2337.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 73320.

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 73320.

It is not an unprimeable number, because it can be changed into a prime (73327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1537 + ... + 1583.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2⁷³³²⁰ 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 73320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960).

73320 is an abundant number, since it is smaller than the sum of its proper divisors (168600).

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

73320 is a wasteful number, since it uses less digits than its factorization.

73320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 15.

The square root of 73320 is about 270.7766607372. The cubic root of 73320 is about 41.8543709187.

Adding to 73320 its reverse (2337), we get a palindrome (75657).

It can be divided in two parts, 73 and 320, that added together give a palindrome (393).

The spelling of 73320 in words is "seventy-three thousand, three hundred twenty", and thus it is an iban number.