107872 has 12 divisors (see below), whose sum is σ = 212436. Its totient is φ = 53920.

The previous prime is 107867. The next prime is 107873. The reversal of 107872 is 278701.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107873) by changing a digit.

107872 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 as a sum of consecutive naturals, namely, 1654 + ... + 1717.

It is an arithmetic number, because the mean of its divisors is an integer number (17703).

2¹⁰⁷⁸⁷² is an apocalyptic number.

It is an amenable number.

107872 is a deficient number, since it is larger than the sum of its proper divisors (104564).

107872 is an equidigital number, since it uses as much as digits as its factorization.

107872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3381 (or 3373 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 25.

The square root of 107872 is about 328.4387309682. The cubic root of 107872 is about 47.6032104795.

It can be divided in two parts, 107 and 872, that added together give a palindrome (979).

The spelling of 107872 in words is "one hundred seven thousand, eight hundred seventy-two".