67032 has 72 divisors (see below), whose sum is σ = 222300. Its totient is φ = 18144.

The previous prime is 67021. The next prime is 67033. The reversal of 67032 is 23076.

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

It is a junction number, because it is equal to n+sod(n) for n = 66996 and 67014.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 67032.

It is not an unprimeable number, because it can be changed into a prime (67033) 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 17 ways as a sum of consecutive naturals, for example, 3519 + ... + 3537.

2⁶⁷⁰³² 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 67032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111150).

67032 is an abundant number, since it is smaller than the sum of its proper divisors (155268).

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

67032 is a wasteful number, since it uses less digits than its factorization.

67032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 31 counting only the distinct ones).

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

The square root of 67032 is about 258.9053881247. The cubic root of 67032 is about 40.6219461215.

Subtracting from 67032 its reverse (23076), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 67032 in words is "sixty-seven thousand, thirty-two".