72241 has 4 divisors (see below), whose sum is σ = 77812. Its totient is φ = 66672.

The previous prime is 72229. The next prime is 72251. The reversal of 72241 is 14227.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 14227 = 41 ⋅347.

It can be written as a sum of positive squares in 2 ways, for example, as 41616 + 30625 = 204^2 + 175^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72211) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2766 + ... + 2791.

It is an arithmetic number, because the mean of its divisors is an integer number (19453).

2⁷²²⁴¹ is an apocalyptic number.

It is an amenable number.

72241 is a deficient number, since it is larger than the sum of its proper divisors (5571).

72241 is a wasteful number, since it uses less digits than its factorization.

72241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5570.

The product of its digits is 112, while the sum is 16.

The square root of 72241 is about 268.7768591230. The cubic root of 72241 is about 41.6480414535.

Adding to 72241 its reverse (14227), we get a palindrome (86468).

It can be divided in two parts, 7224 and 1, that added together give a square (7225 = 85²).

The spelling of 72241 in words is "seventy-two thousand, two hundred forty-one", and thus it is an iban number.