73268041 has 24 divisors (see below), whose sum is σ = 96066432. Its totient is φ = 54595200.

The previous prime is 73268033. The next prime is 73268053. The reversal of 73268041 is 14086237.

It is not a de Polignac number, because 73268041 - 2³ = 73268033 is a prime.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 73267994 and 73268012.

It is not an unprimeable number, because it can be changed into a prime (73268071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17601 + ... + 21361.

It is an arithmetic number, because the mean of its divisors is an integer number (4002768).

Almost surely, 2^73268041 is an apocalyptic number.

It is an amenable number.

73268041 is a deficient number, since it is larger than the sum of its proper divisors (22798391).

73268041 is a wasteful number, since it uses less digits than its factorization.

73268041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3813 (or 3802 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 73268041 is about 8559.6752858972. The cubic root of 73268041 is about 418.4448173356. Note that the first 3 decimals are identical.

The spelling of 73268041 in words is "seventy-three million, two hundred sixty-eight thousand, forty-one".