41833872 has 120 divisors (see below), whose sum is σ = 129527424. Its totient is φ = 12536832.

The previous prime is 41833871. The next prime is 41833879. The reversal of 41833872 is 27833814.

41833872 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 not an unprimeable number, because it can be changed into a prime (41833871) 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, 55933 + ... + 56675.

Almost surely, 2^41833872 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 41833872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64763712).

41833872 is an abundant number, since it is smaller than the sum of its proper divisors (87693552).

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

41833872 is a wasteful number, since it uses less digits than its factorization.

41833872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 788 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 41833872 is about 6467.9109455836. The cubic root of 41833872 is about 347.1437530551.

The spelling of 41833872 in words is "forty-one million, eight hundred thirty-three thousand, eight hundred seventy-two".