11872256 has 96 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 4915200.

The previous prime is 11872249. The next prime is 11872271. The reversal of 11872256 is 65227811.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 382961 + ... + 382991.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 2^11872256 is an apocalyptic number.

11872256 is a gapful number since it is divisible by the number (16) 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 11872256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

11872256 is an abundant number, since it is smaller than the sum of its proper divisors (16432384).

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

11872256 is a wasteful number, since it uses less digits than its factorization.

11872256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 61 counting only the distinct ones).

The product of its digits is 6720, while the sum is 32.

The square root of 11872256 is about 3445.6140236538. The cubic root of 11872256 is about 228.1275576369.

It can be divided in two parts, 1187 and 2256, that added together give a palindrome (3443).

The spelling of 11872256 in words is "eleven million, eight hundred seventy-two thousand, two hundred fifty-six".