41585472 has 168 divisors, whose sum is σ = 129015744. Its totient is φ = 12773376.

The previous prime is 41585461. The next prime is 41585473. The reversal of 41585472 is 27458514.

41585472 is a `hidden beast` number, since 4 + 1 + 585 + 4 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41585473) 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 23 ways as a sum of consecutive naturals, for example, 569628 + ... + 569700.

Almost surely, 2^41585472 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 41585472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64507872).

41585472 is an abundant number, since it is smaller than the sum of its proper divisors (87430272).

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

41585472 is a wasteful number, since it uses less digits than its factorization.

41585472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 144 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 41585472 is about 6448.6798649026. The cubic root of 41585472 is about 346.4553017934.

The spelling of 41585472 in words is "forty-one million, five hundred eighty-five thousand, four hundred seventy-two".