108672 has 32 divisors (see below), whose sum is σ = 289680. Its totient is φ = 36096.

The previous prime is 108649. The next prime is 108677. The reversal of 108672 is 276801.

It is a tau number, because it is divible by the number of its divisors (32).

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

It is not an unprimeable number, because it can be changed into a prime (108677) by changing a digit.

108672 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 243 + ... + 525.

2¹⁰⁸⁶⁷² is an apocalyptic number.

108672 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 108672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144840).

108672 is an abundant number, since it is smaller than the sum of its proper divisors (181008).

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

108672 is an equidigital number, since it uses as much as digits as its factorization.

108672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 108672 is about 329.6543644486. The cubic root of 108672 is about 47.7205990256.

It can be divided in two parts, 108 and 672, that added together give a triangular number (780 = T₃₉).

The spelling of 108672 in words is "one hundred eight thousand, six hundred seventy-two".