41577872 has 60 divisors (see below), whose sum is σ = 94548636. Its totient is φ = 17660160.

The previous prime is 41577853. The next prime is 41577881. The reversal of 41577872 is 27877514.

41577872 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 18113536 + 23464336 = 4256^2 + 4844^2 .

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 11 ways as a sum of consecutive naturals, for example, 141758 + ... + 142050.

Almost surely, 2^41577872 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 41577872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47274318).

41577872 is an abundant number, since it is smaller than the sum of its proper divisors (52970764).

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

41577872 is a wasteful number, since it uses less digits than its factorization.

41577872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 483 counting only the distinct ones).

The product of its digits is 109760, while the sum is 41.

The square root of 41577872 is about 6448.0905700835. The cubic root of 41577872 is about 346.4341948973.

It can be divided in two parts, 415 and 77872, that added together give a palindrome (78287).

The spelling of 41577872 in words is "forty-one million, five hundred seventy-seven thousand, eight hundred seventy-two".