41920872 has 96 divisors (see below), whose sum is σ = 124898400. Its totient is φ = 11684736.

The previous prime is 41920817. The next prime is 41920873. The reversal of 41920872 is 27802914.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (41920873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50154 + ... + 50982.

It is an arithmetic number, because the mean of its divisors is an integer number (1301025).

Almost surely, 2^41920872 is an apocalyptic number.

41920872 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 41920872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62449200).

41920872 is an abundant number, since it is smaller than the sum of its proper divisors (82977528).

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

41920872 is a wasteful number, since it uses less digits than its factorization.

41920872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 41920872 is about 6474.6329625702. The cubic root of 41920872 is about 347.3842327827.

The spelling of 41920872 in words is "forty-one million, nine hundred twenty thousand, eight hundred seventy-two".