72563305 has 4 divisors (see below), whose sum is σ = 87075972. Its totient is φ = 58050640.

The previous prime is 72563303. The next prime is 72563311. The reversal of 72563305 is 50336527.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 50336527 = 109 ⋅461803.

It can be written as a sum of positive squares in 2 ways, for example, as 22733824 + 49829481 = 4768^2 + 7059^2 .

It is not a de Polignac number, because 72563305 - 2¹ = 72563303 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72563303) 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 3 ways as a sum of consecutive naturals, for example, 7256326 + ... + 7256335.

It is an arithmetic number, because the mean of its divisors is an integer number (21768993).

Almost surely, 2^72563305 is an apocalyptic number.

It is an amenable number.

72563305 is a deficient number, since it is larger than the sum of its proper divisors (14512667).

72563305 is a wasteful number, since it uses less digits than its factorization.

72563305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14512666.

The product of its (nonzero) digits is 18900, while the sum is 31.

The square root of 72563305 is about 8518.4097694347. The cubic root of 72563305 is about 417.0988748933.

The spelling of 72563305 in words is "seventy-two million, five hundred sixty-three thousand, three hundred five".