41872896 has 160 divisors (see below), whose sum is σ = 134053920. Its totient is φ = 12828672.

The previous prime is 41872877. The next prime is 41872913. The reversal of 41872896 is 69827814.

41872896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 179596 + ... + 179828.

It is an arithmetic number, because the mean of its divisors is an integer number (837837).

Almost surely, 2^41872896 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 41872896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67026960).

41872896 is an abundant number, since it is smaller than the sum of its proper divisors (92181024).

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

41872896 is a wasteful number, since it uses less digits than its factorization.

41872896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 251 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 41872896 is about 6470.9269815074. The cubic root of 41872896 is about 347.2516618461.

The spelling of 41872896 in words is "forty-one million, eight hundred seventy-two thousand, eight hundred ninety-six".