41564772 has 96 divisors (see below), whose sum is σ = 116524800. Its totient is φ = 12773376.

The previous prime is 41564759. The next prime is 41564819. The reversal of 41564772 is 27746514.

41564772 is a `hidden beast` number, since 4 + 1 + 5 + 647 + 7 + 2 = 666.

41564772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 71748 + ... + 72324.

It is an arithmetic number, because the mean of its divisors is an integer number (1213800).

Almost surely, 2^41564772 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 41564772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58262400).

41564772 is an abundant number, since it is smaller than the sum of its proper divisors (74960028).

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

41564772 is a wasteful number, since it uses less digits than its factorization.

41564772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 634 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 41564772 is about 6447.0746854678. The cubic root of 41564772 is about 346.3978072353.

The spelling of 41564772 in words is "forty-one million, five hundred sixty-four thousand, seven hundred seventy-two".