73688 has 16 divisors (see below), whose sum is σ = 141360. Its totient is φ = 36000.

The previous prime is 73681. The next prime is 73693. The reversal of 73688 is 88637.

It is an Ulam number.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73681) by changing a digit.

73688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 413 + ... + 563.

It is an arithmetic number, because the mean of its divisors is an integer number (8835).

2⁷³⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

73688 is a deficient number, since it is larger than the sum of its proper divisors (67672).

73688 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 12 representation: 73688 = (36788)₁₂.

73688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 214 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 73688 is about 271.4553370262. The cubic root of 73688 is about 41.9242777718.

The spelling of 73688 in words is "seventy-three thousand, six hundred eighty-eight".