16272144 has 80 divisors (see below), whose sum is σ = 53389440. Its totient is φ = 4648320.

The previous prime is 16272133. The next prime is 16272149. The reversal of 16272144 is 44127261.

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.

It is not an unprimeable number, because it can be changed into a prime (16272149) 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, 334 + ... + 5714.

It is an arithmetic number, because the mean of its divisors is an integer number (667368).

Almost surely, 2^16272144 is an apocalyptic number.

16272144 is a gapful number since it is divisible by the number (14) 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 16272144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26694720).

16272144 is an abundant number, since it is smaller than the sum of its proper divisors (37117296).

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

16272144 is a wasteful number, since it uses less digits than its factorization.

16272144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5405 (or 5393 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 16272144 is about 4033.8745642372. The cubic root of 16272144 is about 253.4048520760.

The spelling of 16272144 in words is "sixteen million, two hundred seventy-two thousand, one hundred forty-four".