7992 has 32 divisors (see below), whose sum is σ = 22800. Its totient is φ = 2592.

The previous prime is 7963. The next prime is 7993. The reversal of 7992 is 2997.

7992 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (1134) is a multiple of the sum of its prime divisors (42).

It is a plaindrome in base 15.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7993) by changing a digit.

7992 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, 198 + ... + 234.

2⁷⁹⁹² is an apocalyptic number.

7992 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11400).

7992 is an abundant number, since it is smaller than the sum of its proper divisors (14808).

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

7992 is a wasteful number, since it uses less digits than its factorization.

7992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 42 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 7992 is about 89.3979865545. The cubic root of 7992 is about 19.9933311099.

It can be divided in two parts, 79 and 92, that added together give a palindrome (171).

The spelling of 7992 in words is "seven thousand, nine hundred ninety-two".