72338 has 8 divisors (see below), whose sum is σ = 124032. Its totient is φ = 30996.

The previous prime is 72337. The next prime is 72341. The reversal of 72338 is 83327.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (72337) 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, 2570 + ... + 2597.

It is an arithmetic number, because the mean of its divisors is an integer number (15504).

2⁷²³³⁸ is an apocalyptic number.

72338 is a deficient number, since it is larger than the sum of its proper divisors (51694).

72338 is a wasteful number, since it uses less digits than its factorization.

72338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5176.

The product of its digits is 1008, while the sum is 23.

The square root of 72338 is about 268.9572456730. The cubic root of 72338 is about 41.6666737778. Note that the first 4 decimals are identical.

Adding to 72338 its sum of digits (23), we get a square (72361 = 269²).

It can be divided in two parts, 72 and 338, that multiplied together give a square (24336 = 156²).

The spelling of 72338 in words is "seventy-two thousand, three hundred thirty-eight".