73112832001 has 12 divisors (see below), whose sum is σ = 80404199316. Its totient is φ = 66432708320.

The previous prime is 73112831969. The next prime is 73112832007. The reversal of 73112832001 is 10023821137.

It can be written as a sum of positive squares in 2 ways, for example, as 34624277776 + 38488554225 = 186076^2 + 196185^2 .

It is not a de Polignac number, because 73112832001 - 2⁵ = 73112831969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73112832007) 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 11 ways as a sum of consecutive naturals, for example, 90351 + ... + 392923.

It is an arithmetic number, because the mean of its divisors is an integer number (6700349943).

Almost surely, 2^73112832001 is an apocalyptic number.

It is an amenable number.

73112832001 is a deficient number, since it is larger than the sum of its proper divisors (7291367315).

73112832001 is a wasteful number, since it uses less digits than its factorization.

73112832001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304592 (or 304581 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The spelling of 73112832001 in words is "seventy-three billion, one hundred twelve million, eight hundred thirty-two thousand, one".