108375072 has 96 divisors (see below), whose sum is σ = 314782272. Its totient is φ = 32431104.

The previous prime is 108375053. The next prime is 108375073. The reversal of 108375072 is 270573801.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (108375073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45003 + ... + 47349.

It is an arithmetic number, because the mean of its divisors is an integer number (3278982).

Almost surely, 2^108375072 is an apocalyptic number.

108375072 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 108375072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157391136).

108375072 is an abundant number, since it is smaller than the sum of its proper divisors (206407200).

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

108375072 is a wasteful number, since it uses less digits than its factorization.

108375072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 108375072 is about 10410.3348649311. The cubic root of 108375072 is about 476.7709653806.

The spelling of 108375072 in words is "one hundred eight million, three hundred seventy-five thousand, seventy-two".