16111872 has 216 divisors, whose sum is σ = 56545216. Its totient is φ = 4478976.

The previous prime is 16111859. The next prime is 16111873. The reversal of 16111872 is 27811161.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16111873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435438 + ... + 435474.

Almost surely, 2^16111872 is an apocalyptic number.

16111872 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 16111872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28272608).

16111872 is an abundant number, since it is smaller than the sum of its proper divisors (40433344).

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

16111872 is an frugal number, since it uses more digits than its factorization.

16111872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 49 counting only the distinct ones).

The product of its digits is 672, while the sum is 27.

The square root of 16111872 is about 4013.9596410527. The cubic root of 16111872 is about 252.5701376900.

The spelling of 16111872 in words is "sixteen million, one hundred eleven thousand, eight hundred seventy-two".