48192 has 28 divisors (see below), whose sum is σ = 128016. Its totient is φ = 16000.

The previous prime is 48187. The next prime is 48193. The reversal of 48192 is 29184.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48192.

It is not an unprimeable number, because it can be changed into a prime (48193) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67 + ... + 317.

It is an arithmetic number, because the mean of its divisors is an integer number (4572).

2⁴⁸¹⁹² 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 48192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64008).

48192 is an abundant number, since it is smaller than the sum of its proper divisors (79824).

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

48192 is a wasteful number, since it uses less digits than its factorization.

48192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 256 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 48192 is about 219.5267637442. The cubic root of 48192 is about 36.3908039402.

It can be divided in two parts, 48 and 192, that multiplied together give a square (9216 = 96²).

The spelling of 48192 in words is "forty-eight thousand, one hundred ninety-two".