81792 has 48 divisors (see below), whose sum is σ = 238680. Its totient is φ = 26880.

The previous prime is 81773. The next prime is 81799. The reversal of 81792 is 29718.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81799) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1117 + ... + 1187.

2⁸¹⁷⁹² 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 81792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119340).

81792 is an abundant number, since it is smaller than the sum of its proper divisors (156888).

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

81792 is a wasteful number, since it uses less digits than its factorization.

81792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 76 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 81792 is about 285.9930069075. The cubic root of 81792 is about 43.4080499271.

It can be divided in two parts, 817 and 92, that added together give a palindrome (909).

The spelling of 81792 in words is "eighty-one thousand, seven hundred ninety-two".