11842272 has 72 divisors (see below), whose sum is σ = 36278424. Its totient is φ = 3642624.

The previous prime is 11842253. The next prime is 11842283. The reversal of 11842272 is 27224811.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×11842272² = 280478812243968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2163 + ... + 5325.

It is an arithmetic number, because the mean of its divisors is an integer number (503867).

Almost surely, 2^11842272 is an apocalyptic number.

11842272 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 11842272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18139212).

11842272 is an abundant number, since it is smaller than the sum of its proper divisors (24436152).

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

11842272 is a wasteful number, since it uses less digits than its factorization.

11842272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192 (or 3181 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 11842272 is about 3441.2602342746. The cubic root of 11842272 is about 227.9353463956.

The spelling of 11842272 in words is "eleven million, eight hundred forty-two thousand, two hundred seventy-two".