41731872 has 192 divisors, whose sum is σ = 143265024. Its totient is φ = 10321920.

The previous prime is 41731871. The next prime is 41731897. The reversal of 41731872 is 27813714.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (41731871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148372 + ... + 148652.

It is an arithmetic number, because the mean of its divisors is an integer number (746172).

Almost surely, 2^41731872 is an apocalyptic number.

41731872 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 41731872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71632512).

41731872 is an abundant number, since it is smaller than the sum of its proper divisors (101533152).

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

41731872 is a wasteful number, since it uses less digits than its factorization.

41731872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 323 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The square root of 41731872 is about 6460.0210525973. The cubic root of 41731872 is about 346.8613863337.

The spelling of 41731872 in words is "forty-one million, seven hundred thirty-one thousand, eight hundred seventy-two".