109728000 has 288 divisors, whose sum is σ = 408145920. Its totient is φ = 29030400.

The previous prime is 109727987. The next prime is 109728001. The reversal of 109728000 is 827901.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (109728001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863937 + ... + 864063.

Almost surely, 2^109728000 is an apocalyptic number.

109728000 is a gapful number since it is divisible by the number (10) 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 109728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204072960).

109728000 is an abundant number, since it is smaller than the sum of its proper divisors (298417920).

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

109728000 is an equidigital number, since it uses as much as digits as its factorization.

109728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 137 counting only the distinct ones).

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

The square root of 109728000 is about 10475.1133645417. The cubic root of 109728000 is about 478.7467305891.

The spelling of 109728000 in words is "one hundred nine million, seven hundred twenty-eight thousand".