11233872 has 120 divisors (see below), whose sum is σ = 35950824. Its totient is φ = 3244032.

The previous prime is 11233843. The next prime is 11233891. The reversal of 11233872 is 27833211.

It can be written as a sum of positive squares in 4 ways, for example, as 968256 + 10265616 = 984^2 + 3204^2 .

It is a super-2 number, since 2×11233872² = 252399760224768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 31648 + ... + 32000.

Almost surely, 2^11233872 is an apocalyptic number.

11233872 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 11233872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17975412).

11233872 is an abundant number, since it is smaller than the sum of its proper divisors (24716952).

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

11233872 is a wasteful number, since it uses less digits than its factorization.

11233872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 388 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 11233872 is about 3351.6968836695. The cubic root of 11233872 is about 223.9631104217.

It can be divided in two parts, 112338 and 72, that multiplied together give a square (8088336 = 2844²).

The spelling of 11233872 in words is "eleven million, two hundred thirty-three thousand, eight hundred seventy-two".