107072 has 28 divisors (see below), whose sum is σ = 243840. Its totient is φ = 45696.

The previous prime is 107071. The next prime is 107077. The reversal of 107072 is 270701.

It is a happy number.

107072 is nontrivially palindromic in base 6.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×107072² = 22928826368, which contains 22 as substring.

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

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 107072.

It is not an unprimeable number, because it can be changed into a prime (107071) by changing a digit.

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, 329 + ... + 567.

2¹⁰⁷⁰⁷² 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 107072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121920).

107072 is an abundant number, since it is smaller than the sum of its proper divisors (136768).

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

107072 is an equidigital number, since it uses as much as digits as its factorization.

107072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 17.

The square root of 107072 is about 327.2185813795. The cubic root of 107072 is about 47.4852401047.

Adding to 107072 its reverse (270701), we get a palindrome (377773).

The spelling of 107072 in words is "one hundred seven thousand, seventy-two", and thus it is an iban number.