73806705 has 48 divisors (see below), whose sum is σ = 149635200. Its totient is φ = 32949504.

The previous prime is 73806679. The next prime is 73806713. The reversal of 73806705 is 50760837.

It is not a de Polignac number, because 73806705 - 2⁹ = 73806193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 73806705.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10821 + ... + 16269.

It is an arithmetic number, because the mean of its divisors is an integer number (3117400).

Almost surely, 2^73806705 is an apocalyptic number.

It is an amenable number.

73806705 is an abundant number, since it is smaller than the sum of its proper divisors (75828495).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73806705 is a wasteful number, since it uses less digits than its factorization.

73806705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5510 (or 5507 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 73806705 is about 8591.0828770301. The cubic root of 73806705 is about 419.4677782372.

The spelling of 73806705 in words is "seventy-three million, eight hundred six thousand, seven hundred five".