11811072 has 144 divisors (see below), whose sum is σ = 38917760. Its totient is φ = 3115008.

The previous prime is 11811049. The next prime is 11811077. The reversal of 11811072 is 27011811.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (11811077) 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, 908538 + ... + 908550.

Almost surely, 2^11811072 is an apocalyptic number.

11811072 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 11811072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19458880).

11811072 is an abundant number, since it is smaller than the sum of its proper divisors (27106688).

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

11811072 is an frugal number, since it uses more digits than its factorization.

11811072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 21.

The square root of 11811072 is about 3436.7240215065. The cubic root of 11811072 is about 227.7349952742.

Adding to 11811072 its reverse (27011811), we get a palindrome (38822883).

The spelling of 11811072 in words is "eleven million, eight hundred eleven thousand, seventy-two".