72041 has 4 divisors (see below), whose sum is σ = 73284. Its totient is φ = 70800.

The previous prime is 72031. The next prime is 72043. The reversal of 72041 is 14027.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 32041 + 40000 = 179^2 + 200^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72041 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 530 + ... + 651.

It is an arithmetic number, because the mean of its divisors is an integer number (18321).

2⁷²⁰⁴¹ is an apocalyptic number.

It is an amenable number.

72041 is a deficient number, since it is larger than the sum of its proper divisors (1243).

72041 is a wasteful number, since it uses less digits than its factorization.

72041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242.

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

The square root of 72041 is about 268.4045454161. The cubic root of 72041 is about 41.6095715771.

Subtracting from 72041 its sum of digits (14), we obtain a palindrome (72027).

Adding to 72041 its reverse (14027), we get a palindrome (86068).

It can be divided in two parts, 7 and 2041, that added together give a 11-th power (2048 = 2¹¹).

The spelling of 72041 in words is "seventy-two thousand, forty-one", and thus it is an iban number.