11626272 has 144 divisors (see below), whose sum is σ = 38787840. Its totient is φ = 3234816.

The previous prime is 11626253. The next prime is 11626273. The reversal of 11626272 is 27262611.

11626272 is a `hidden beast` number, since 11 + 626 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (11626273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147129 + ... + 147207.

It is an arithmetic number, because the mean of its divisors is an integer number (269360).

Almost surely, 2^11626272 is an apocalyptic number.

11626272 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 11626272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19393920).

11626272 is an abundant number, since it is smaller than the sum of its proper divisors (27161568).

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

11626272 is a wasteful number, since it uses less digits than its factorization.

11626272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 164 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 11626272 is about 3409.7319542744. The cubic root of 11626272 is about 226.5410068584.

Adding to 11626272 its reverse (27262611), we get a palindrome (38888883).

The spelling of 11626272 in words is "eleven million, six hundred twenty-six thousand, two hundred seventy-two".