72648000111001 has 8 divisors (see below), whose sum is σ = 83632317125760. Its totient is φ = 61815190917408.

The previous prime is 72648000110969. The next prime is 72648000111013. The reversal of 72648000111001 is 10011100084627.

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 72648000111001 - 2⁵ = 72648000110969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72648000111091) 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, 37876954261 + ... + 37876956178.

It is an arithmetic number, because the mean of its divisors is an integer number (10454039640720).

Almost surely, 2^{72648000111001} is an apocalyptic number.

It is an amenable number.

72648000111001 is a deficient number, since it is larger than the sum of its proper divisors (10984317014759).

72648000111001 is a wasteful number, since it uses less digits than its factorization.

72648000111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75753910583.

The product of its (nonzero) digits is 2688, while the sum is 31.

Adding to 72648000111001 its reverse (10011100084627), we get a palindrome (82659100195628).

The spelling of 72648000111001 in words is "seventy-two trillion, six hundred forty-eight billion, one hundred eleven thousand, one".