72595758096 has 45 divisors (see below), whose sum is σ = 203176344189. Its totient is φ = 24197508288.

The previous prime is 72595758089. The next prime is 72595758139. The reversal of 72595758096 is 69085759527.

The square root of 72595758096 is 269436.

It is a perfect power (a square), and thus also a powerful number.

72595758096 is a `hidden beast` number, since 7 + 2 + 59 + 575 + 8 + 0 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7705328400 + 64890429696 = 87780^2 + 254736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3222006 + ... + 3244458.

Almost surely, 2^72595758096 is an apocalyptic number.

72595758096 is the 269436-th square number.

It is an amenable number.

72595758096 is an abundant number, since it is smaller than the sum of its proper divisors (130580586093).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72595758096 is an frugal number, since it uses more digits than its factorization.

72595758096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44920 (or 22458 counting only the distinct ones).

The product of its (nonzero) digits is 47628000, while the sum is 63.

The spelling of 72595758096 in words is "seventy-two billion, five hundred ninety-five million, seven hundred fifty-eight thousand, ninety-six".