11251072 has 64 divisors (see below), whose sum is σ = 26560800. Its totient is φ = 4644864.

The previous prime is 11251069. The next prime is 11251073. The reversal of 11251072 is 27015211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×11251072² = 253173242298368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11251073) 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 7 ways as a sum of consecutive naturals, for example, 25768 + ... + 26200.

Almost surely, 2^11251072 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 11251072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13280400).

11251072 is an abundant number, since it is smaller than the sum of its proper divisors (15309728).

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

11251072 is an equidigital number, since it uses as much as digits as its factorization.

11251072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 11251072 is about 3354.2617667678. The cubic root of 11251072 is about 224.0773542365.

Adding to 11251072 its reverse (27015211), we get a palindrome (38266283).

It can be divided in two parts, 1125 and 1072, that added together give a cube (2197 = 13³).

The spelling of 11251072 in words is "eleven million, two hundred fifty-one thousand, seventy-two".