87792 has 40 divisors (see below), whose sum is σ = 238080. Its totient is φ = 27840.

The previous prime is 87767. The next prime is 87793. The reversal of 87792 is 29778.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87793) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1459 + ... + 1517.

It is an arithmetic number, because the mean of its divisors is an integer number (5952).

2⁸⁷⁷⁹² 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 87792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119040).

87792 is an abundant number, since it is smaller than the sum of its proper divisors (150288).

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

87792 is a wasteful number, since it uses less digits than its factorization.

87792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 95 counting only the distinct ones).

The product of its digits is 7056, while the sum is 33.

The square root of 87792 is about 296.2971481469. The cubic root of 87792 is about 44.4445296295. Note that the first 3 decimals are identical.

It can be divided in two parts, 877 and 92, that added together give a palindrome (969).

The spelling of 87792 in words is "eighty-seven thousand, seven hundred ninety-two".