99792 has 100 divisors (see below), whose sum is σ = 360096. Its totient is φ = 25920.

The previous prime is 99787. The next prime is 99793. The reversal of 99792 is 29799.

99792 = 18³ + 19³ + ... + 26³.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 99792.

It is not an unprimeable number, because it can be changed into a prime (99793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9067 + ... + 9077.

2⁹⁹⁷⁹² 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 99792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180048).

99792 is an abundant number, since it is smaller than the sum of its proper divisors (260304).

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

99792 is a wasteful number, since it uses less digits than its factorization.

99792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 23 counting only the distinct ones).

The product of its digits is 10206, while the sum is 36.

The square root of 99792 is about 315.8987179461. The cubic root of 99792 is about 46.3836843151.

99792 divided by its sum of digits (36) gives a palindrome (2772).

It can be divided in two parts, 997 and 92, that added together give a square (1089 = 33²).

The spelling of 99792 in words is "ninety-nine thousand, seven hundred ninety-two".