72002241 has 12 divisors (see below), whose sum is σ = 104667732. Its totient is φ = 47694816.

The previous prime is 72002237. The next prime is 72002257. The reversal of 72002241 is 14220027.

72002241 = 1620² + 1621² + ... + 1646².

It can be written as a sum of positive squares in 2 ways, for example, as 41796225 + 30206016 = 6465^2 + 5496^2 .

It is not a de Polignac number, because 72002241 - 2² = 72002237 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72002201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24066 + ... + 26891.

It is an arithmetic number, because the mean of its divisors is an integer number (8722311).

Almost surely, 2^72002241 is an apocalyptic number.

It is an amenable number.

72002241 is a deficient number, since it is larger than the sum of its proper divisors (32665491).

72002241 is a wasteful number, since it uses less digits than its factorization.

72002241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51120 (or 51117 counting only the distinct ones).

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

The square root of 72002241 is about 8485.4134254024. The cubic root of 72002241 is about 416.0210807395.

Adding to 72002241 its reverse (14220027), we get a palindrome (86222268).

The spelling of 72002241 in words is "seventy-two million, two thousand, two hundred forty-one".