73582561 has 8 divisors (see below), whose sum is σ = 81799424. Its totient is φ = 65730960.

The previous prime is 73582513. The next prime is 73582583. The reversal of 73582561 is 16528537.

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 73582561 - 2⁹ = 73582049 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 73582561.

It is not an unprimeable number, because it can be changed into a prime (73582261) 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, 90891 + ... + 91696.

It is an arithmetic number, because the mean of its divisors is an integer number (10224928).

Almost surely, 2^73582561 is an apocalyptic number.

It is an amenable number.

73582561 is a deficient number, since it is larger than the sum of its proper divisors (8216863).

73582561 is a wasteful number, since it uses less digits than its factorization.

73582561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182631.

The product of its digits is 50400, while the sum is 37.

The square root of 73582561 is about 8578.0278036388. The cubic root of 73582561 is about 419.0427196358.

The spelling of 73582561 in words is "seventy-three million, five hundred eighty-two thousand, five hundred sixty-one".