73312 has 24 divisors (see below), whose sum is σ = 151200. Its totient is φ = 34944.

The previous prime is 73309. The next prime is 73327. The reversal of 73312 is 21337.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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, 889 + ... + 967.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2⁷³³¹² 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 73312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75600).

73312 is an abundant number, since it is smaller than the sum of its proper divisors (77888).

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

73312 is a wasteful number, since it uses less digits than its factorization.

73312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 110 counting only the distinct ones).

The product of its digits is 126, while the sum is 16.

The square root of 73312 is about 270.7618880123. The cubic root of 73312 is about 41.8528486095.

Adding to 73312 its reverse (21337), we get a palindrome (94649).

The spelling of 73312 in words is "seventy-three thousand, three hundred twelve", and thus it is an iban number.