76032 has 72 divisors (see below), whose sum is σ = 245280. Its totient is φ = 23040.

The previous prime is 76031. The next prime is 76039. The reversal of 76032 is 23067.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 75996 and 76014.

It is not an unprimeable number, because it can be changed into a prime (76031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6907 + ... + 6917.

2⁷⁶⁰³² is an apocalyptic number.

76032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122640).

76032 is an abundant number, since it is smaller than the sum of its proper divisors (169248).

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

76032 is a wasteful number, since it uses less digits than its factorization.

76032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 76032 is about 275.7390070338. The cubic root of 76032 is about 42.3641800239.

76032 divided by its sum of digits (18) gives a palindrome (4224).

Adding to 76032 its reverse (23067), we get a palindrome (99099).

It can be divided in two parts, 7 and 6032, that multiplied together give a palindrome (42224).

The spelling of 76032 in words is "seventy-six thousand, thirty-two".