73368 has 24 divisors (see below), whose sum is σ = 198900. Its totient is φ = 24432.

The previous prime is 73363. The next prime is 73369. The reversal of 73368 is 86337.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73361) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 438 + ... + 581.

2⁷³³⁶⁸ is an apocalyptic number.

It is an amenable number.

73368 is an abundant number, since it is smaller than the sum of its proper divisors (125532).

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

73368 is a wasteful number, since it uses less digits than its factorization.

73368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1024 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 73368 is about 270.8652801671. The cubic root of 73368 is about 41.8635024497.

It can be divided in two parts, 73 and 368, that added together give a square (441 = 21²).

The spelling of 73368 in words is "seventy-three thousand, three hundred sixty-eight".