71232 has 56 divisors (see below), whose sum is σ = 219456. Its totient is φ = 19968.

The previous prime is 71209. The next prime is 71233. The reversal of 71232 is 23217.

It is a tau number, because it is divible by the number of its divisors (56).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71233) 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 7 ways as a sum of consecutive naturals, for example, 1318 + ... + 1370.

2⁷¹²³² 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 71232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109728).

71232 is an abundant number, since it is smaller than the sum of its proper divisors (148224).

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

71232 is a wasteful number, since it uses less digits than its factorization.

71232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 65 counting only the distinct ones).

The product of its digits is 84, while the sum is 15.

The square root of 71232 is about 266.8932370818. The cubic root of 71232 is about 41.4532303229.

Subtracting from 71232 its sum of digits (15), we obtain a palindrome (71217).

71232 divided by its product of digits (84) gives a palindrome (848).

Adding to 71232 its reverse (23217), we get a palindrome (94449).

It can be divided in two parts, 71 and 232, that added together give a palindrome (303).

The spelling of 71232 in words is "seventy-one thousand, two hundred thirty-two".