72314865 has 48 divisors (see below), whose sum is σ = 144188928. Its totient is φ = 32842368.

The previous prime is 72314839. The next prime is 72314867. The reversal of 72314865 is 56841327.

It is not a de Polignac number, because 72314865 - 2¹³ = 72306673 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72314867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53832 + ... + 55158.

It is an arithmetic number, because the mean of its divisors is an integer number (3003936).

Almost surely, 2^72314865 is an apocalyptic number.

It is an amenable number.

72314865 is a deficient number, since it is larger than the sum of its proper divisors (71874063).

72314865 is a wasteful number, since it uses less digits than its factorization.

72314865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1515 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 72314865 is about 8503.8147322246. The cubic root of 72314865 is about 416.6223138567.

The spelling of 72314865 in words is "seventy-two million, three hundred fourteen thousand, eight hundred sixty-five".