16975872 has 96 divisors (see below), whose sum is σ = 50450400. Its totient is φ = 5640192.

The previous prime is 16975867. The next prime is 16975891. The reversal of 16975872 is 27857961.

16975872 is a `hidden beast` number, since 1 + 69 + 7 + 587 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55143 + ... + 55449.

It is an arithmetic number, because the mean of its divisors is an integer number (525525).

Almost surely, 2^16975872 is an apocalyptic number.

16975872 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 16975872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25225200).

16975872 is an abundant number, since it is smaller than the sum of its proper divisors (33474528).

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

16975872 is an equidigital number, since it uses as much as digits as its factorization.

16975872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 312 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 16975872 is about 4120.1786369040. The cubic root of 16975872 is about 257.0064546416.

It can be divided in two parts, 1697 and 5872, that added together give a square (7569 = 87²).

The spelling of 16975872 in words is "sixteen million, nine hundred seventy-five thousand, eight hundred seventy-two".