11057472 has 112 divisors (see below), whose sum is σ = 33324800. Its totient is φ = 3639168.

The previous prime is 11057467. The next prime is 11057477. The reversal of 11057472 is 27475011.

It is an interprime number because it is at equal distance from previous prime (11057467) and next prime (11057477).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11057477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139929 + ... + 140007.

Almost surely, 2^11057472 is an apocalyptic number.

11057472 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 11057472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16662400).

11057472 is an abundant number, since it is smaller than the sum of its proper divisors (22267328).

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

11057472 is an frugal number, since it uses more digits than its factorization.

11057472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 84 counting only the distinct ones).

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

The square root of 11057472 is about 3325.2777327616. The cubic root of 11057472 is about 222.7846594369.

The spelling of 11057472 in words is "eleven million, fifty-seven thousand, four hundred seventy-two".