72901002112001 has 4 divisors (see below), whose sum is σ = 83315430985152. Its totient is φ = 62486573238852.

The previous prime is 72901002111997. The next prime is 72901002112013. The reversal of 72901002112001 is 10021120010927.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 72901002112001 - 2² = 72901002111997 is a prime.

It is a super-2 number, since 2×72901002112001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72901002112021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5207214436565 + ... + 5207214436578.

It is an arithmetic number, because the mean of its divisors is an integer number (20828857746288).

Almost surely, 2^{72901002112001} is an apocalyptic number.

It is an amenable number.

72901002112001 is a deficient number, since it is larger than the sum of its proper divisors (10414428873151).

72901002112001 is a wasteful number, since it uses less digits than its factorization.

72901002112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10414428873150.

The product of its (nonzero) digits is 504, while the sum is 26.

Adding to 72901002112001 its reverse (10021120010927), we get a palindrome (82922122122928).

The spelling of 72901002112001 in words is "seventy-two trillion, nine hundred one billion, two million, one hundred twelve thousand, one".