11272416 has 48 divisors (see below), whose sum is σ = 30618000. Its totient is φ = 3627008.

The previous prime is 11272403. The next prime is 11272421. The reversal of 11272416 is 61427211.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 760 + ... + 4808.

It is an arithmetic number, because the mean of its divisors is an integer number (637875).

Almost surely, 2^11272416 is an apocalyptic number.

11272416 is a gapful number since it is divisible by the number (16) 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 11272416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15309000).

11272416 is an abundant number, since it is smaller than the sum of its proper divisors (19345584).

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

11272416 is a wasteful number, since it uses less digits than its factorization.

11272416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4091 (or 4083 counting only the distinct ones).

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

The square root of 11272416 is about 3357.4418833392. The cubic root of 11272416 is about 224.2189610648.

Adding to 11272416 its reverse (61427211), we get a palindrome (72699627).

The spelling of 11272416 in words is "eleven million, two hundred seventy-two thousand, four hundred sixteen".