73582441 has 8 divisors (see below), whose sum is σ = 74721960. Its totient is φ = 72450048.

The previous prime is 73582429. The next prime is 73582447. The reversal of 73582441 is 14428537.

It can be written as a sum of positive squares in 4 ways, for example, as 37161216 + 36421225 = 6096^2 + 6035^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 73582441 - 2⁹ = 73581929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 73582397 and 73582406.

It is not an unprimeable number, because it can be changed into a prime (73582447) 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 7 ways as a sum of consecutive naturals, for example, 21265 + ... + 24481.

It is an arithmetic number, because the mean of its divisors is an integer number (9340245).

Almost surely, 2^73582441 is an apocalyptic number.

It is an amenable number.

73582441 is a deficient number, since it is larger than the sum of its proper divisors (1139519).

73582441 is a wasteful number, since it uses less digits than its factorization.

73582441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3563.

The product of its digits is 26880, while the sum is 34.

The square root of 73582441 is about 8578.0208090212. The cubic root of 73582441 is about 419.0424918411.

The spelling of 73582441 in words is "seventy-three million, five hundred eighty-two thousand, four hundred forty-one".