11416272 has 80 divisors (see below), whose sum is σ = 34319232. Its totient is φ = 3202560.

The previous prime is 11416271. The next prime is 11416291. The reversal of 11416272 is 27261411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11416271) 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 15 ways as a sum of consecutive naturals, for example, 20218 + ... + 20774.

Almost surely, 2^11416272 is an apocalyptic number.

11416272 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 11416272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17159616).

11416272 is an abundant number, since it is smaller than the sum of its proper divisors (22902960).

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

11416272 is a wasteful number, since it uses less digits than its factorization.

11416272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 630 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 11416272 is about 3378.7974192011. The cubic root of 11416272 is about 225.1687425528.

Adding to 11416272 its reverse (27261411), we get a palindrome (38677683).

The spelling of 11416272 in words is "eleven million, four hundred sixteen thousand, two hundred seventy-two".