74688 has 28 divisors (see below), whose sum is σ = 198120. Its totient is φ = 24832.

The previous prime is 74687. The next prime is 74699. The reversal of 74688 is 88647.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74687) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3 + ... + 386.

2⁷⁴⁶⁸⁸ 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 74688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99060).

74688 is an abundant number, since it is smaller than the sum of its proper divisors (123432).

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

74688 is a wasteful number, since it uses less digits than its factorization.

74688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 394 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 74688 is about 273.2910536406. The cubic root of 74688 is about 42.1130739895.

Subtracting from 74688 its product of digits (10752), we obtain a palindrome (63936).

The spelling of 74688 in words is "seventy-four thousand, six hundred eighty-eight".