109728 has 48 divisors (see below), whose sum is σ = 322560. Its totient is φ = 36288.

The previous prime is 109721. The next prime is 109741. The reversal of 109728 is 827901.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 109728.

It is not an unprimeable number, because it can be changed into a prime (109721) by changing a digit.

109728 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, 801 + ... + 927.

It is an arithmetic number, because the mean of its divisors is an integer number (6720).

2¹⁰⁹⁷²⁸ is an apocalyptic number.

109728 is a gapful number since it is divisible by the number (18) 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 109728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161280).

109728 is an abundant number, since it is smaller than the sum of its proper divisors (212832).

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

109728 is a wasteful number, since it uses less digits than its factorization.

109728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 109728 is about 331.2521698042. The cubic root of 109728 is about 47.8746730589.

The spelling of 109728 in words is "one hundred nine thousand, seven hundred twenty-eight".