72715305 has 64 divisors (see below), whose sum is σ = 135217152. Its totient is φ = 33073920.

The previous prime is 72715297. The next prime is 72715309. The reversal of 72715305 is 50351727.

It is not a de Polignac number, because 72715305 - 2³ = 72715297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72715309) 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 63 ways as a sum of consecutive naturals, for example, 138774 + ... + 139296.

It is an arithmetic number, because the mean of its divisors is an integer number (2112768).

Almost surely, 2^72715305 is an apocalyptic number.

It is an amenable number.

72715305 is a deficient number, since it is larger than the sum of its proper divisors (62501847).

72715305 is a wasteful number, since it uses less digits than its factorization.

72715305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598.

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 72715305 is about 8527.3269551484. The cubic root of 72715305 is about 417.3899072667.

The spelling of 72715305 in words is "seventy-two million, seven hundred fifteen thousand, three hundred five".