41712 has 40 divisors (see below), whose sum is σ = 119040. Its totient is φ = 12480.

The previous prime is 41687. The next prime is 41719. The reversal of 41712 is 21714.

41712 is nontrivially palindromic in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 41691 and 41700.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 41712.

It is not an unprimeable number, because it can be changed into a prime (41719) by changing a digit.

41712 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 489 + ... + 567.

It is an arithmetic number, because the mean of its divisors is an integer number (2976).

2⁴¹⁷¹² 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 41712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59520).

41712 is an abundant number, since it is smaller than the sum of its proper divisors (77328).

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

41712 is a wasteful number, since it uses less digits than its factorization.

41712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 95 counting only the distinct ones).

The product of its digits is 56, while the sum is 15.

The square root of 41712 is about 204.2351585795. The cubic root of 41712 is about 34.6806321116.

It can be divided in two parts, 41 and 712, that multiplied together give a palindrome (29192).

The spelling of 41712 in words is "forty-one thousand, seven hundred twelve", and thus it is an iban number.