73205643 has 8 divisors (see below), whose sum is σ = 111551488. Its totient is φ = 41831784.

The previous prime is 73205617. The next prime is 73205669. The reversal of 73205643 is 34650237.

It is an interprime number because it is at equal distance from previous prime (73205617) and next prime (73205669).

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

It is not a de Polignac number, because 73205643 - 2⁶ = 73205579 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 73205643.

It is not an unprimeable number, because it can be changed into a prime (73205603) 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, 1742971 + ... + 1743012.

It is an arithmetic number, because the mean of its divisors is an integer number (13943936).

Almost surely, 2^73205643 is an apocalyptic number.

73205643 is a deficient number, since it is larger than the sum of its proper divisors (38345845).

73205643 is a wasteful number, since it uses less digits than its factorization.

73205643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3485993.

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 73205643 is about 8556.0296282797. The cubic root of 73205643 is about 418.3259954728.

The spelling of 73205643 in words is "seventy-three million, two hundred five thousand, six hundred forty-three".