11265072 has 80 divisors (see below), whose sum is σ = 35831040. Its totient is φ = 2969856.

The previous prime is 11265071. The next prime is 11265113. The reversal of 11265072 is 27056211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11265071) 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, 3079 + ... + 5657.

It is an arithmetic number, because the mean of its divisors is an integer number (447888).

Almost surely, 2^11265072 is an apocalyptic number.

11265072 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 11265072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17915520).

11265072 is an abundant number, since it is smaller than the sum of its proper divisors (24565968).

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

11265072 is a wasteful number, since it uses less digits than its factorization.

11265072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 11265072 is about 3356.3480153286. The cubic root of 11265072 is about 224.1702574630.

The spelling of 11265072 in words is "eleven million, two hundred sixty-five thousand, seventy-two".