74382 has 48 divisors (see below), whose sum is σ = 196992. Its totient is φ = 18480.

The previous prime is 74381. The next prime is 74383. The reversal of 74382 is 28347.

It is an interprime number because it is at equal distance from previous prime (74381) and next prime (74383).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74381) 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 23 ways as a sum of consecutive naturals, for example, 3223 + ... + 3245.

It is an arithmetic number, because the mean of its divisors is an integer number (4104).

2⁷⁴³⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98496).

74382 is an abundant number, since it is smaller than the sum of its proper divisors (122610).

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

74382 is a wasteful number, since it uses less digits than its factorization.

74382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 46 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 74382 is about 272.7306363429. The cubic root of 74382 is about 42.0554822310.

The spelling of 74382 in words is "seventy-four thousand, three hundred eighty-two".