72961075333 has 2 divisors, whose sum is σ = 72961075334. Its totient is φ = 72961075332.

The previous prime is 72961075331. The next prime is 72961075351. The reversal of 72961075333 is 33357016927.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 46463095809 + 26497979524 = 215553^2 + 162782^2 .

It is a cyclic number.

It is not a de Polignac number, because 72961075333 - 2¹ = 72961075331 is a prime.

Together with 72961075331, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72961075331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36480537666 + 36480537667.

It is an arithmetic number, because the mean of its divisors is an integer number (36480537667).

Almost surely, 2^72961075333 is an apocalyptic number.

It is an amenable number.

72961075333 is a deficient number, since it is larger than the sum of its proper divisors (1).

72961075333 is an equidigital number, since it uses as much as digits as its factorization.

72961075333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 714420, while the sum is 46.

The spelling of 72961075333 in words is "seventy-two billion, nine hundred sixty-one million, seventy-five thousand, three hundred thirty-three".