72305817 has 8 divisors (see below), whose sum is σ = 96717024. Its totient is φ = 48049248.

The previous prime is 72305809. The next prime is 72305819. The reversal of 72305817 is 71850327.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72305817 - 2³ = 72305809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72305819) 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 7 ways as a sum of consecutive naturals, for example, 37563 + ... + 39440.

It is an arithmetic number, because the mean of its divisors is an integer number (12089628).

Almost surely, 2^72305817 is an apocalyptic number.

It is an amenable number.

72305817 is a deficient number, since it is larger than the sum of its proper divisors (24411207).

72305817 is a wasteful number, since it uses less digits than its factorization.

72305817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77319.

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 72305817 is about 8503.2827190445. The cubic root of 72305817 is about 416.6049372730.

The spelling of 72305817 in words is "seventy-two million, three hundred five thousand, eight hundred seventeen".