41072544 has 72 divisors (see below), whose sum is σ = 123685380. Its totient is φ = 12883968.

The previous prime is 41072543. The next prime is 41072567. The reversal of 41072544 is 44527014.

41072544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 36144144 + 4928400 = 6012^2 + 2220^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (41072543) 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 11 ways as a sum of consecutive naturals, for example, 702 + ... + 9090.

Almost surely, 2^41072544 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 41072544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61842690).

41072544 is an abundant number, since it is smaller than the sum of its proper divisors (82612836).

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

41072544 is a wasteful number, since it uses less digits than its factorization.

41072544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8422 (or 8411 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 41072544 is about 6408.7864685914. The cubic root of 41072544 is about 345.0249761376.

Adding to 41072544 its reverse (44527014), we get a palindrome (85599558).

It can be divided in two parts, 41072 and 544, that added together give a triangular number (41616 = T₂₈₈).

The spelling of 41072544 in words is "forty-one million, seventy-two thousand, five hundred forty-four".