41072 has 20 divisors (see below), whose sum is σ = 84816. Its totient is φ = 19200.

The previous prime is 41057. The next prime is 41077. The reversal of 41072 is 27014.

It is a happy number.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 197 + ... + 347.

2⁴¹⁰⁷² 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 41072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42408).

41072 is an abundant number, since it is smaller than the sum of its proper divisors (43744).

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

41072 is a wasteful number, since it uses less digits than its factorization.

41072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 170 counting only the distinct ones).

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

The square root of 41072 is about 202.6622806543. The cubic root of 41072 is about 34.5023452862.

Multiplying 41072 by its product of nonzero digits (56), we get a palindrome (2300032).

Adding to 41072 its reverse (27014), we get a palindrome (68086).

The spelling of 41072 in words is "forty-one thousand, seventy-two", and thus it is an iban number.