72658305 has 12 divisors (see below), whose sum is σ = 125941140. Its totient is φ = 38751072.

The previous prime is 72658303. The next prime is 72658319. The reversal of 72658305 is 50385627.

72658305 is a `hidden beast` number, since 72 + 6 + 583 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7436529 + 65221776 = 2727^2 + 8076^2 .

It is not a de Polignac number, because 72658305 - 2¹ = 72658303 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72658305.

It is not an unprimeable number, because it can be changed into a prime (72658303) 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 11 ways as a sum of consecutive naturals, for example, 807270 + ... + 807359.

It is an arithmetic number, because the mean of its divisors is an integer number (10495095).

Almost surely, 2^72658305 is an apocalyptic number.

It is an amenable number.

72658305 is a deficient number, since it is larger than the sum of its proper divisors (53282835).

72658305 is a wasteful number, since it uses less digits than its factorization.

72658305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614640 (or 1614637 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 72658305 is about 8523.9841036924. The cubic root of 72658305 is about 417.2808176974.

The spelling of 72658305 in words is "seventy-two million, six hundred fifty-eight thousand, three hundred five".