71832 has 32 divisors (see below), whose sum is σ = 186480. Its totient is φ = 23040.

The previous prime is 71821. The next prime is 71837. The reversal of 71832 is 23817.

It is a junction number, because it is equal to n+sod(n) for n = 71799 and 71808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71837) by changing a digit.

71832 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 948 + ... + 1020.

2⁷¹⁸³² is an apocalyptic number.

71832 is the 219-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93240).

71832 is an abundant number, since it is smaller than the sum of its proper divisors (114648).

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

71832 is a wasteful number, since it uses less digits than its factorization.

71832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 119 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 71832 is about 268.0149249575. The cubic root of 71832 is about 41.5692944024.

It can be divided in two parts, 71 and 832, that added together give a triangular number (903 = T₄₂).

The spelling of 71832 in words is "seventy-one thousand, eight hundred thirty-two".