72559704953 has 8 divisors (see below), whose sum is σ = 73591557000. Its totient is φ = 71528876928.

The previous prime is 72559704857. The next prime is 72559705027. The reversal of 72559704953 is 35940795527.

It can be written as a sum of positive squares in 4 ways, for example, as 5329438009 + 67230266944 = 73003^2 + 259288^2 .

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 72559704953 - 2²⁰ = 72558656377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72559704653) 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, 112718 + ... + 397271.

It is an arithmetic number, because the mean of its divisors is an integer number (9198944625).

Almost surely, 2^72559704953 is an apocalyptic number.

72559704953 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

It is an amenable number.

72559704953 is a deficient number, since it is larger than the sum of its proper divisors (1031852047).

72559704953 is a wasteful number, since it uses less digits than its factorization.

72559704953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512011.

The product of its (nonzero) digits is 11907000, while the sum is 56.

The spelling of 72559704953 in words is "seventy-two billion, five hundred fifty-nine million, seven hundred four thousand, nine hundred fifty-three".