72980611201 has 2 divisors, whose sum is σ = 72980611202. Its totient is φ = 72980611200.

The previous prime is 72980611189. The next prime is 72980611213. The reversal of 72980611201 is 10211608927.

It is a balanced prime because it is at equal distance from previous prime (72980611189) and next prime (72980611213).

It can be written as a sum of positive squares in only one way, i.e., 72912960576 + 67650625 = 270024^2 + 8225^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72980611201 is a prime.

It is a super-2 number, since 2×72980611201² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72980611241) 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 as a sum of consecutive naturals, namely, 36490305600 + 36490305601.

It is an arithmetic number, because the mean of its divisors is an integer number (36490305601).

Almost surely, 2^72980611201 is an apocalyptic number.

It is an amenable number.

72980611201 is a deficient number, since it is larger than the sum of its proper divisors (1).

72980611201 is an equidigital number, since it uses as much as digits as its factorization.

72980611201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 37.

The spelling of 72980611201 in words is "seventy-two billion, nine hundred eighty million, six hundred eleven thousand, two hundred one".