11275872 has 48 divisors (see below), whose sum is σ = 30023280. Its totient is φ = 3704832.

The previous prime is 11275871. The next prime is 11275883. The reversal of 11275872 is 27857211.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11275871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6204 + ... + 7812.

It is an arithmetic number, because the mean of its divisors is an integer number (625485).

Almost surely, 2^11275872 is an apocalyptic number.

11275872 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 11275872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15011640).

11275872 is an abundant number, since it is smaller than the sum of its proper divisors (18747408).

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

11275872 is a wasteful number, since it uses less digits than its factorization.

11275872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1687 counting only the distinct ones).

The product of its digits is 7840, while the sum is 33.

The square root of 11275872 is about 3357.9565214577. The cubic root of 11275872 is about 224.2418730875.

The spelling of 11275872 in words is "eleven million, two hundred seventy-five thousand, eight hundred seventy-two".