41724 has 36 divisors (see below), whose sum is σ = 112840. Its totient is φ = 12960.

The previous prime is 41719. The next prime is 41729. The reversal of 41724 is 42714.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (41719) and next prime (41729).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6 and base 9.

It is a junction number, because it is equal to n+sod(n) for n = 41697 and 41706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41729) by changing a digit.

41724 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 654 + ... + 714.

2⁴¹⁷²⁴ 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 41724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56420).

41724 is an abundant number, since it is smaller than the sum of its proper divisors (71116).

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

41724 is a wasteful number, since it uses less digits than its factorization.

41724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 85 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 41724 is about 204.2645343666. The cubic root of 41724 is about 34.6839575150.

Subtracting 41724 from its reverse (42714), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 417 and 24, that added together give a square (441 = 21²).

The spelling of 41724 in words is "forty-one thousand, seven hundred twenty-four", and thus it is an iban number.