109072 has 20 divisors (see below), whose sum is σ = 224316. Its totient is φ = 51200.

The previous prime is 109063. The next prime is 109073. The reversal of 109072 is 270901.

109072 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 2 ways, for example, as 99856 + 9216 = 316^2 + 96^2 .

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (109073) by changing a digit.

109072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72 + ... + 472.

2¹⁰⁹⁰⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112158).

109072 is an abundant number, since it is smaller than the sum of its proper divisors (115244).

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

109072 is a wasteful number, since it uses less digits than its factorization.

109072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 109072 is about 330.2605032395. The cubic root of 109072 is about 47.7790773438.

Adding to 109072 its reverse (270901), we get a palindrome (379973).

The spelling of 109072 in words is "one hundred nine thousand, seventy-two".