74385 has 32 divisors (see below), whose sum is σ = 144000. Its totient is φ = 36288.

The previous prime is 74383. The next prime is 74411. The reversal of 74385 is 58347.

It is not a de Polignac number, because 74385 - 2¹ = 74383 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

Its product of digits (3360) is a multiple of the sum of its prime divisors (56).

74385 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (74381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2551 + ... + 2579.

It is an arithmetic number, because the mean of its divisors is an integer number (4500).

2⁷⁴³⁸⁵ is an apocalyptic number.

It is an amenable number.

74385 is a deficient number, since it is larger than the sum of its proper divisors (69615).

74385 is a wasteful number, since it uses less digits than its factorization.

74385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 56 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 74385 is about 272.7361362196. The cubic root of 74385 is about 42.0560476220.

It can be divided in two parts, 743 and 85, that added together give a palindrome (828).

The spelling of 74385 in words is "seventy-four thousand, three hundred eighty-five".