17983872 has 96 divisors (see below), whose sum is σ = 52748280. Its totient is φ = 5879808.

The previous prime is 17983717. The next prime is 17983873. The reversal of 17983872 is 27838971.

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

It is a super-2 number, since 2×17983872² = 646839304224768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17983873) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77068 + ... + 77300.

Almost surely, 2^17983872 is an apocalyptic number.

17983872 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 17983872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26374140).

17983872 is an abundant number, since it is smaller than the sum of its proper divisors (34764408).

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

17983872 is a wasteful number, since it uses less digits than its factorization.

17983872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 305 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 17983872 is about 4240.7395581431. The cubic root of 17983872 is about 261.9958432221.

The spelling of 17983872 in words is "seventeen million, nine hundred eighty-three thousand, eight hundred seventy-two".