72961075331 has 2 divisors, whose sum is σ = 72961075332. Its totient is φ = 72961075330.

The previous prime is 72961075273. The next prime is 72961075333. The reversal of 72961075331 is 13357016927.

It is a strong prime.

It is an emirp because it is prime and its reverse (13357016927) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72961075331 - 2²² = 72956881027 is a prime.

It is a super-2 number, since 2×72961075331² (a number of 23 digits) contains 22 as substring.

Together with 72961075333, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72961075333) 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, 36480537665 + 36480537666.

It is an arithmetic number, because the mean of its divisors is an integer number (36480537666).

Almost surely, 2^72961075331 is an apocalyptic number.

72961075331 is a deficient number, since it is larger than the sum of its proper divisors (1).

72961075331 is an equidigital number, since it uses as much as digits as its factorization.

72961075331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 238140, while the sum is 44.

The spelling of 72961075331 in words is "seventy-two billion, nine hundred sixty-one million, seventy-five thousand, three hundred thirty-one".