67232 has 24 divisors (see below), whose sum is σ = 145152. Its totient is φ = 30400.

The previous prime is 67231. The next prime is 67247. The reversal of 67232 is 23276.

67232 is nontrivially palindromic in base 7.

It is a super-3 number, since 3×67232³ = 911694525333504, which contains 333 as substring.

It is a d-powerful number, because it can be written as 6⁵ + 7³ + 2⁵ + 3¹⁰ + 2⁵ .

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

It is not an unprimeable number, because it can be changed into a prime (67231) by changing a digit.

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, 257 + ... + 447.

It is an arithmetic number, because the mean of its divisors is an integer number (6048).

2⁶⁷²³² 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 67232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72576).

67232 is an abundant number, since it is smaller than the sum of its proper divisors (77920).

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

67232 is a wasteful number, since it uses less digits than its factorization.

67232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 204 counting only the distinct ones).

The product of its digits is 504, while the sum is 20.

The square root of 67232 is about 259.2913419303. The cubic root of 67232 is about 40.6623065587.

Subtracting from 67232 its reverse (23276), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 67232 in words is "sixty-seven thousand, two hundred thirty-two".