108072 has 48 divisors (see below), whose sum is σ = 312000. Its totient is φ = 33696.

The previous prime is 108061. The next prime is 108079. The reversal of 108072 is 270801.

108072 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (108079) by changing a digit.

108072 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 11 ways as a sum of consecutive naturals, for example, 1329 + ... + 1407.

It is an arithmetic number, because the mean of its divisors is an integer number (6500).

2¹⁰⁸⁰⁷² is an apocalyptic number.

108072 is a gapful number since it is divisible by the number (12) 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 108072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156000).

108072 is an abundant number, since it is smaller than the sum of its proper divisors (203928).

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

108072 is a wasteful number, since it uses less digits than its factorization.

108072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 108072 is about 328.7430607633. The cubic root of 108072 is about 47.6326118819.

Adding to 108072 its reverse (270801), we get a palindrome (378873).

The spelling of 108072 in words is "one hundred eight thousand, seventy-two".