11449872 has 120 divisors (see below), whose sum is σ = 37733696. Its totient is φ = 3172608.

The previous prime is 11449859. The next prime is 11449873. The reversal of 11449872 is 27894411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11449873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37143 + ... + 37449.

Almost surely, 2^11449872 is an apocalyptic number.

11449872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

11449872 is the 2763-rd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11449872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18866848).

11449872 is an abundant number, since it is smaller than the sum of its proper divisors (26283824).

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

11449872 is a wasteful number, since it uses less digits than its factorization.

11449872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 356 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 11449872 is about 3383.7659493529. The cubic root of 11449872 is about 225.3894292918.

It can be divided in two parts, 11449 and 872, that added together give a palindrome (12321).

The spelling of 11449872 in words is "eleven million, four hundred forty-nine thousand, eight hundred seventy-two".