11335872 has 112 divisors (see below), whose sum is σ = 33357312. Its totient is φ = 3379200.

The previous prime is 11335861. The next prime is 11335873. The reversal of 11335872 is 27853311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11335873) 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 15 ways as a sum of consecutive naturals, for example, 74997 + ... + 75147.

Almost surely, 2^11335872 is an apocalyptic number.

11335872 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 11335872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16678656).

11335872 is an abundant number, since it is smaller than the sum of its proper divisors (22021440).

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

11335872 is a wasteful number, since it uses less digits than its factorization.

11335872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 11335872 is about 3366.8786731927. The cubic root of 11335872 is about 224.6389072276.

The spelling of 11335872 in words is "eleven million, three hundred thirty-five thousand, eight hundred seventy-two".