11467872 has 96 divisors (see below), whose sum is σ = 36056160. Its totient is φ = 3525120.

The previous prime is 11467853. The next prime is 11467873. The reversal of 11467872 is 27876411.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11467873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10722 + ... + 11742.

It is an arithmetic number, because the mean of its divisors is an integer number (375585).

Almost surely, 2^11467872 is an apocalyptic number.

11467872 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 11467872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18028080).

11467872 is an abundant number, since it is smaller than the sum of its proper divisors (24588288).

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

11467872 is a wasteful number, since it uses less digits than its factorization.

11467872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1039 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 11467872 is about 3386.4246632695. The cubic root of 11467872 is about 225.5074767720.

The spelling of 11467872 in words is "eleven million, four hundred sixty-seven thousand, eight hundred seventy-two".