41882720 has 96 divisors (see below), whose sum is σ = 110224800. Its totient is φ = 14909440.

The previous prime is 41882693. The next prime is 41882723. The reversal of 41882720 is 2728814.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41882723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93056 + ... + 93504.

It is an arithmetic number, because the mean of its divisors is an integer number (1148175).

Almost surely, 2^41882720 is an apocalyptic number.

41882720 is a gapful number since it is divisible by the number (40) 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 41882720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55112400).

41882720 is an abundant number, since it is smaller than the sum of its proper divisors (68342080).

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

41882720 is a wasteful number, since it uses less digits than its factorization.

41882720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 41882720 is about 6471.6860245225. The cubic root of 41882720 is about 347.2788165126.

It can be divided in two parts, 418 and 82720, that added together give a palindrome (83138).

The spelling of 41882720 in words is "forty-one million, eight hundred eighty-two thousand, seven hundred twenty".