74784 has 48 divisors (see below), whose sum is σ = 211680. Its totient is φ = 23040.

The previous prime is 74779. The next prime is 74797. The reversal of 74784 is 48747.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1804 + ... + 1844.

It is an arithmetic number, because the mean of its divisors is an integer number (4410).

2⁷⁴⁷⁸⁴ 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 74784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105840).

74784 is an abundant number, since it is smaller than the sum of its proper divisors (136896).

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

74784 is a wasteful number, since it uses less digits than its factorization.

74784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 65 counting only the distinct ones).

The product of its digits is 6272, while the sum is 30.

The square root of 74784 is about 273.4666341622. The cubic root of 74784 is about 42.1311095695.

It can be divided in two parts, 74 and 784, that added together give a palindrome (858).

The spelling of 74784 in words is "seventy-four thousand, seven hundred eighty-four".