41563872 has 144 divisors (see below), whose sum is σ = 137985120. Its totient is φ = 11621376.

The previous prime is 41563867. The next prime is 41563877. The reversal of 41563872 is 27836514.

41563872 is a `hidden beast` number, since 4 + 15 + 638 + 7 + 2 = 666.

41563872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41563867) and next prime (41563877).

It is a tau number, because it is divible by the number of its divisors (144).

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 (41563877) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 106654 + ... + 107042.

It is an arithmetic number, because the mean of its divisors is an integer number (958230).

Almost surely, 2^41563872 is an apocalyptic number.

41563872 is a gapful number since it is divisible by the number (42) 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 41563872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68992560).

41563872 is an abundant number, since it is smaller than the sum of its proper divisors (96421248).

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

41563872 is a wasteful number, since it uses less digits than its factorization.

41563872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 454 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 41563872 is about 6447.0048859916. The cubic root of 41563872 is about 346.3953070389.

The spelling of 41563872 in words is "forty-one million, five hundred sixty-three thousand, eight hundred seventy-two".