73705047 has 32 divisors (see below), whose sum is σ = 117976320. Its totient is φ = 40435200.

The previous prime is 73705039. The next prime is 73705057. The reversal of 73705047 is 74050737.

It is not a de Polignac number, because 73705047 - 2³ = 73705039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 73704999 and 73705017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73705007) 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 31 ways as a sum of consecutive naturals, for example, 9672 + ... + 15522.

It is an arithmetic number, because the mean of its divisors is an integer number (3686760).

Almost surely, 2^73705047 is an apocalyptic number.

73705047 is a deficient number, since it is larger than the sum of its proper divisors (44271273).

73705047 is a wasteful number, since it uses less digits than its factorization.

73705047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5903.

The product of its (nonzero) digits is 20580, while the sum is 33.

The square root of 73705047 is about 8585.1643548624. The cubic root of 73705047 is about 419.2751044676.

The spelling of 73705047 in words is "seventy-three million, seven hundred five thousand, forty-seven".