109168272 has 60 divisors (see below), whose sum is σ = 307459984. Its totient is φ = 36158400.

The previous prime is 109168261. The next prime is 109168303. The reversal of 109168272 is 272861901.

It is a super-2 number, since 2×109168272² = 23835423222931968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21147 + ... + 25797.

Almost surely, 2^109168272 is an apocalyptic number.

109168272 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 109168272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153729992).

109168272 is an abundant number, since it is smaller than the sum of its proper divisors (198291712).

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

109168272 is a wasteful number, since it uses less digits than its factorization.

109168272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4828 (or 4819 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 109168272 is about 10448.3621683018. The cubic root of 109168272 is about 477.9313055230.

The spelling of 109168272 in words is "one hundred nine million, one hundred sixty-eight thousand, two hundred seventy-two".