11272272 has 80 divisors (see below), whose sum is σ = 32682432. Its totient is φ = 3317760.

The previous prime is 11272259. The next prime is 11272279. The reversal of 11272272 is 27227211.

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

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11272279) 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, 19248 + ... + 19824.

Almost surely, 2^11272272 is an apocalyptic number.

11272272 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 11272272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16341216).

11272272 is an abundant number, since it is smaller than the sum of its proper divisors (21410160).

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

11272272 is a wasteful number, since it uses less digits than its factorization.

11272272 is an evil number, because the sum of its binary digits is even.

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

The product of its digits is 784, while the sum is 24.

The square root of 11272272 is about 3357.4204383723. The cubic root of 11272272 is about 224.2180062956.

Adding to 11272272 its reverse (27227211), we get a palindrome (38499483).

It can be divided in two parts, 11 and 272272, that multiplied together give a palindrome (2994992).

The spelling of 11272272 in words is "eleven million, two hundred seventy-two thousand, two hundred seventy-two".