73306305 has 36 divisors (see below), whose sum is σ = 129340692. Its totient is φ = 38404800.

The previous prime is 73306301. The next prime is 73306349. The reversal of 73306305 is 50360337.

It can be written as a sum of positive squares in 2 ways, for example, as 52403121 + 20903184 = 7239^2 + 4572^2 .

It is not a de Polignac number, because 73306305 - 2² = 73306301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73306301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 577152 + ... + 577278.

It is an arithmetic number, because the mean of its divisors is an integer number (3592797).

Almost surely, 2^73306305 is an apocalyptic number.

It is an amenable number.

73306305 is a deficient number, since it is larger than the sum of its proper divisors (56034387).

73306305 is a wasteful number, since it uses less digits than its factorization.

73306305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 27.

The square root of 73306305 is about 8561.9101256671. The cubic root of 73306305 is about 418.5176484809.

The spelling of 73306305 in words is "seventy-three million, three hundred six thousand, three hundred five".