7200100072001 has 16 divisors (see below), whose sum is σ = 7718824918800. Its totient is φ = 6692140105728.

The previous prime is 7200100071943. The next prime is 7200100072043. The reversal of 7200100072001 is 1002700010027.

It can be written as a sum of positive squares in 8 ways, for example, as 826419173776 + 6373680898225 = 909076^2 + 2524615^2 .

It is a cyclic number.

It is not a de Polignac number, because 7200100072001 - 2¹⁸ = 7200099809857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7200100072091) 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 15 ways as a sum of consecutive naturals, for example, 1717160 + ... + 4165193.

It is an arithmetic number, because the mean of its divisors is an integer number (482426557425).

Almost surely, 2^{7200100072001} is an apocalyptic number.

It is an amenable number.

7200100072001 is a deficient number, since it is larger than the sum of its proper divisors (518724846799).

7200100072001 is a wasteful number, since it uses less digits than its factorization.

7200100072001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5883268.

The product of its (nonzero) digits is 196, while the sum is 20.

Adding to 7200100072001 its reverse (1002700010027), we get a palindrome (8202800082028).

The spelling of 7200100072001 in words is "seven trillion, two hundred billion, one hundred million, seventy-two thousand, one".