72305541 has 40 divisors (see below), whose sum is σ = 134675904. Its totient is φ = 37558080.

The previous prime is 72305531. The next prime is 72305567. The reversal of 72305541 is 14550327.

It is a happy number.

It is not a de Polignac number, because 72305541 - 2⁷ = 72305413 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72305521) 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 39 ways as a sum of consecutive naturals, for example, 441 + ... + 12033.

Almost surely, 2^72305541 is an apocalyptic number.

It is an amenable number.

72305541 is a deficient number, since it is larger than the sum of its proper divisors (62370363).

72305541 is a wasteful number, since it uses less digits than its factorization.

72305541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11623 (or 11614 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 72305541 is about 8503.2664900025. The cubic root of 72305541 is about 416.6044071953.

Adding to 72305541 its reverse (14550327), we get a palindrome (86855868).

The spelling of 72305541 in words is "seventy-two million, three hundred five thousand, five hundred forty-one".