11257272 has 128 divisors (see below), whose sum is σ = 35616000. Its totient is φ = 3265920.

The previous prime is 11257243. The next prime is 11257313. The reversal of 11257272 is 27275211.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53247 + ... + 53457.

It is an arithmetic number, because the mean of its divisors is an integer number (278250).

Almost surely, 2^11257272 is an apocalyptic number.

11257272 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 11257272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17808000).

11257272 is an abundant number, since it is smaller than the sum of its proper divisors (24358728).

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

11257272 is a wasteful number, since it uses less digits than its factorization.

11257272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 248 counting only the distinct ones).

The product of its digits is 1960, while the sum is 27.

The square root of 11257272 is about 3355.1858368800. The cubic root of 11257272 is about 224.1185065961.

The spelling of 11257272 in words is "eleven million, two hundred fifty-seven thousand, two hundred seventy-two".