87192 has 48 divisors (see below), whose sum is σ = 271440. Its totient is φ = 24768.

The previous prime is 87187. The next prime is 87211. The reversal of 87192 is 29178.

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

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 418 + ... + 590.

It is an arithmetic number, because the mean of its divisors is an integer number (5655).

2⁸⁷¹⁹² 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 87192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135720).

87192 is an abundant number, since it is smaller than the sum of its proper divisors (184248).

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

87192 is a wasteful number, since it uses less digits than its factorization.

87192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 185 counting only the distinct ones).

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

The square root of 87192 is about 295.2829151847. The cubic root of 87192 is about 44.3430484799.

The spelling of 87192 in words is "eighty-seven thousand, one hundred ninety-two".