11872224 has 192 divisors, whose sum is σ = 42900480. Its totient is φ = 3110400.

The previous prime is 11872213. The next prime is 11872241. The reversal of 11872224 is 42227811.

11872224 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78549 + ... + 78699.

It is an arithmetic number, because the mean of its divisors is an integer number (223440).

Almost surely, 2^11872224 is an apocalyptic number.

11872224 is a gapful number since it is divisible by the number (14) 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 11872224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21450240).

11872224 is an abundant number, since it is smaller than the sum of its proper divisors (31028256).

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

11872224 is a wasteful number, since it uses less digits than its factorization.

11872224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 176 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 11872224 is about 3445.6093800662. The cubic root of 11872224 is about 228.1273526748.

The spelling of 11872224 in words is "eleven million, eight hundred seventy-two thousand, two hundred twenty-four".