72512112001 has 16 divisors (see below), whose sum is σ = 87755322240. Its totient is φ = 58490784000.

The previous prime is 72512111953. The next prime is 72512112037. The reversal of 72512112001 is 10021121527.

It is a cyclic number.

It is not a de Polignac number, because 72512112001 - 2¹³ = 72512103809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72512115001) 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 15 ways as a sum of consecutive naturals, for example, 1278751 + ... + 1334251.

It is an arithmetic number, because the mean of its divisors is an integer number (5484707640).

Almost surely, 2^72512112001 is an apocalyptic number.

It is an amenable number.

72512112001 is a deficient number, since it is larger than the sum of its proper divisors (15243210239).

72512112001 is a wasteful number, since it uses less digits than its factorization.

72512112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66504.

The product of its (nonzero) digits is 280, while the sum is 22.

Adding to 72512112001 its reverse (10021121527), we get a palindrome (82533233528).

The spelling of 72512112001 in words is "seventy-two billion, five hundred twelve million, one hundred twelve thousand, one".