73338 has 16 divisors (see below), whose sum is σ = 155520. Its totient is φ = 22976.

The previous prime is 73331. The next prime is 73351. The reversal of 73338 is 83337.

It is a super-5 number, since 5×73338⁵ (a number of 26 digits) contains 55555 as substring. Note that it is a super-d number also for d = 3.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (73331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258 + ... + 461.

It is an arithmetic number, because the mean of its divisors is an integer number (9720).

2⁷³³³⁸ is an apocalyptic number.

73338 is an abundant number, since it is smaller than the sum of its proper divisors (82182).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77760).

73338 is a wasteful number, since it uses less digits than its factorization.

73338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741.

The product of its digits is 1512, while the sum is 24.

The square root of 73338 is about 270.8098964218. The cubic root of 73338 is about 41.8577957098.

Subtracting 73338 from its reverse (83337), we obtain a palindrome (9999).

The spelling of 73338 in words is "seventy-three thousand, three hundred thirty-eight".