81732 has 36 divisors (see below), whose sum is σ = 223440. Its totient is φ = 23184.

The previous prime is 81727. The next prime is 81737. The reversal of 81732 is 23718.

It is an interprime number because it is at equal distance from previous prime (81727) and next prime (81737).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 81699 and 81708.

It is not an unprimeable number, because it can be changed into a prime (81737) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 519 + ... + 657.

2⁸¹⁷³² 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 81732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111720).

81732 is an abundant number, since it is smaller than the sum of its proper divisors (141708).

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

81732 is a wasteful number, since it uses less digits than its factorization.

81732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 151 counting only the distinct ones).

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

The square root of 81732 is about 285.8880899933. Note that the first 3 decimals coincide. The cubic root of 81732 is about 43.3974330775.

The spelling of 81732 in words is "eighty-one thousand, seven hundred thirty-two".