41647872 has 144 divisors (see below), whose sum is σ = 129769472. Its totient is φ = 11612160.

The previous prime is 41647831. The next prime is 41647873. The reversal of 41647872 is 27874614.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 41647872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41647873) 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, 327873 + ... + 327999.

Almost surely, 2^41647872 is an apocalyptic number.

41647872 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 41647872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64884736).

41647872 is an abundant number, since it is smaller than the sum of its proper divisors (88121600).

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

41647872 is a wasteful number, since it uses less digits than its factorization.

41647872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 200 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 41647872 is about 6453.5162508512. The cubic root of 41647872 is about 346.6285033597.

The spelling of 41647872 in words is "forty-one million, six hundred forty-seven thousand, eight hundred seventy-two".