11253872 has 40 divisors (see below), whose sum is σ = 25221600. Its totient is φ = 4764672.

The previous prime is 11253863. The next prime is 11253889. The reversal of 11253872 is 27835211.

11253872 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

11253872 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9404 + ... + 10532.

It is an arithmetic number, because the mean of its divisors is an integer number (630540).

Almost surely, 2^11253872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11253872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12610800).

11253872 is an abundant number, since it is smaller than the sum of its proper divisors (13967728).

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

11253872 is a wasteful number, since it uses less digits than its factorization.

11253872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1227 counting only the distinct ones).

The product of its digits is 3360, while the sum is 29.

The square root of 11253872 is about 3354.6791202737. The cubic root of 11253872 is about 224.0959410447.

The spelling of 11253872 in words is "eleven million, two hundred fifty-three thousand, eight hundred seventy-two".