11662272 has 112 divisors (see below), whose sum is σ = 36393120. Its totient is φ = 3649536.

The previous prime is 11662271. The next prime is 11662297. The reversal of 11662272 is 27226611.

11662272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11662271) 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, 29178 + ... + 29574.

Almost surely, 2^11662272 is an apocalyptic number.

11662272 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 11662272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18196560).

11662272 is an abundant number, since it is smaller than the sum of its proper divisors (24730848).

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

11662272 is a wasteful number, since it uses less digits than its factorization.

11662272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 419 counting only the distinct ones).

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

The square root of 11662272 is about 3415.0068813986. The cubic root of 11662272 is about 226.7745891298.

Adding to 11662272 its reverse (27226611), we get a palindrome (38888883).

The spelling of 11662272 in words is "eleven million, six hundred sixty-two thousand, two hundred seventy-two".