73585041 has 16 divisors (see below), whose sum is σ = 103196160. Its totient is φ = 46575360.

The previous prime is 73585019. The next prime is 73585049. The reversal of 73585041 is 14058537.

It is not a de Polignac number, because 73585041 - 2⁵ = 73585009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 73584993 and 73585011.

It is not an unprimeable number, because it can be changed into a prime (73585049) 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 15 ways as a sum of consecutive naturals, for example, 2536 + ... + 12393.

It is an arithmetic number, because the mean of its divisors is an integer number (6449760).

Almost surely, 2^73585041 is an apocalyptic number.

It is an amenable number.

73585041 is a deficient number, since it is larger than the sum of its proper divisors (29611119).

73585041 is a wasteful number, since it uses less digits than its factorization.

73585041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15016.

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 73585041 is about 8578.1723577928. The cubic root of 73585041 is about 419.0474273376.

The spelling of 73585041 in words is "seventy-three million, five hundred eighty-five thousand, forty-one".