79248 has 40 divisors (see below), whose sum is σ = 222208. Its totient is φ = 24192.

The previous prime is 79241. The next prime is 79259. The reversal of 79248 is 84297.

It is not an unprimeable number, because it can be changed into a prime (79241) by changing a digit.

79248 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, 561 + ... + 687.

2⁷⁹²⁴⁸ is an apocalyptic number.

79248 is a gapful number since it is divisible by the number (78) 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 79248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111104).

79248 is an abundant number, since it is smaller than the sum of its proper divisors (142960).

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

79248 is a wasteful number, since it uses less digits than its factorization.

79248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 145 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 79248 is about 281.5102129586. The cubic root of 79248 is about 42.9532573017.

The spelling of 79248 in words is "seventy-nine thousand, two hundred forty-eight".