41720 has 32 divisors (see below), whose sum is σ = 108000. Its totient is φ = 14208.

The previous prime is 41719. The next prime is 41729. The reversal of 41720 is 2714.

It is a happy number.

41720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 41695 and 41704.

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 41720.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206 + ... + 354.

It is an arithmetic number, because the mean of its divisors is an integer number (3375).

2⁴¹⁷²⁰ is an apocalyptic number.

41720 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 41720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54000).

41720 is an abundant number, since it is smaller than the sum of its proper divisors (66280).

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

41720 is a wasteful number, since it uses less digits than its factorization.

41720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 41720 is about 204.2547429070. The cubic root of 41720 is about 34.6828491181.

The spelling of 41720 in words is "forty-one thousand, seven hundred twenty", and thus it is an iban number.