72479563193 has 8 divisors (see below), whose sum is σ = 72614419080. Its totient is φ = 72344764800.

The previous prime is 72479563183. The next prime is 72479563201. The reversal of 72479563193 is 39136597427.

It can be written as a sum of positive squares in 4 ways, for example, as 233111824 + 72246451369 = 15268^2 + 268787^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 72479563193 - 2¹⁴ = 72479546809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72479563103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3135803 + ... + 3158831.

It is an arithmetic number, because the mean of its divisors is an integer number (9076802385).

Almost surely, 2^72479563193 is an apocalyptic number.

It is an amenable number.

72479563193 is a deficient number, since it is larger than the sum of its proper divisors (134855887).

72479563193 is a wasteful number, since it uses less digits than its factorization.

72479563193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28747.

The product of its digits is 8573040, while the sum is 56.

The spelling of 72479563193 in words is "seventy-two billion, four hundred seventy-nine million, five hundred sixty-three thousand, one hundred ninety-three".