88392 has 32 divisors (see below), whose sum is σ = 230400. Its totient is φ = 28224.

The previous prime is 88379. The next prime is 88397. The reversal of 88392 is 29388.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88392.

It is not an unprimeable number, because it can be changed into a prime (88397) by changing a digit.

88392 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 633 + ... + 759.

It is an arithmetic number, because the mean of its divisors is an integer number (7200).

2⁸⁸³⁹² 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 88392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115200).

88392 is an abundant number, since it is smaller than the sum of its proper divisors (142008).

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

88392 is a wasteful number, since it uses less digits than its factorization.

88392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 161 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 88392 is about 297.3079211861. The cubic root of 88392 is about 44.5455494552.

The spelling of 88392 in words is "eighty-eight thousand, three hundred ninety-two".