74032 has 20 divisors (see below), whose sum is σ = 164176. Its totient is φ = 31680.

The previous prime is 74027. The next prime is 74047. The reversal of 74032 is 23047.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 73997 and 74015.

It is an unprimeable number.

74032 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 219 + ... + 442.

2⁷⁴⁰³² is an apocalyptic number.

It is an amenable number.

74032 is an abundant number, since it is smaller than the sum of its proper divisors (90144).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82088).

74032 is a wasteful number, since it uses less digits than its factorization.

74032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 74032 is about 272.0882209872. The cubic root of 74032 is about 41.9894153221.

Adding to 74032 its reverse (23047), we get a palindrome (97079).

It can be divided in two parts, 7 and 4032, that multiplied together give a square (28224 = 168²).

The spelling of 74032 in words is "seventy-four thousand, thirty-two".