72533241 has 24 divisors (see below), whose sum is σ = 120313440. Its totient is φ = 41644800.

The previous prime is 72533239. The next prime is 72533249. The reversal of 72533241 is 14233527.

It is not a de Polignac number, because 72533241 - 2¹ = 72533239 is a prime.

It is a super-2 number, since 2×72533241² = 10522142099928162, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72533249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17400 + ... + 21161.

It is an arithmetic number, because the mean of its divisors is an integer number (5013060).

Almost surely, 2^72533241 is an apocalyptic number.

It is an amenable number.

72533241 is a deficient number, since it is larger than the sum of its proper divisors (47780199).

72533241 is a wasteful number, since it uses less digits than its factorization.

72533241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38597 (or 38594 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 72533241 is about 8516.6449380023. The cubic root of 72533241 is about 417.0412636219.

Adding to 72533241 its reverse (14233527), we get a palindrome (86766768).

The spelling of 72533241 in words is "seventy-two million, five hundred thirty-three thousand, two hundred forty-one".