72753577058 has 18 divisors (see below), whose sum is σ = 110421853569. Its totient is φ = 35951276592.

The previous prime is 72753577037. The next prime is 72753577121. The reversal of 72753577058 is 85077535727.

It can be written as a sum of positive squares in 2 ways, for example, as 65033670289 + 7719906769 = 255017^2 + 87863^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=190727.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72753576994 and 72753577012.

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, 33948335 + ... + 33950477.

Almost surely, 2^72753577058 is an apocalyptic number.

72753577058 is a deficient number, since it is larger than the sum of its proper divisors (37668276511).

72753577058 is an frugal number, since it uses more digits than its factorization.

72753577058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4466 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 14406000, while the sum is 56.

The spelling of 72753577058 in words is "seventy-two billion, seven hundred fifty-three million, five hundred seventy-seven thousand, fifty-eight".