11705472 has 80 divisors (see below), whose sum is σ = 34866150. Its totient is φ = 3898368.

The previous prime is 11705471. The next prime is 11705549. The reversal of 11705472 is 27450711.

11705472 is a `hidden beast` number, since 117 + 0 + 547 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11451456 + 254016 = 3384^2 + 504^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11705471) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9804 + ... + 10932.

Almost surely, 2^11705472 is an apocalyptic number.

11705472 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 11705472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17433075).

11705472 is an abundant number, since it is smaller than the sum of its proper divisors (23160678).

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

11705472 is an equidigital number, since it uses as much as digits as its factorization.

11705472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1134 counting only the distinct ones).

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

The square root of 11705472 is about 3421.3260587088. The cubic root of 11705472 is about 227.0542542083.

The spelling of 11705472 in words is "eleven million, seven hundred five thousand, four hundred seventy-two".