72947967529 has 2 divisors, whose sum is σ = 72947967530. Its totient is φ = 72947967528.

The previous prime is 72947967527. The next prime is 72947967539. The reversal of 72947967529 is 92576974927.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61939761129 + 11008206400 = 248877^2 + 104920^2 .

It is a cyclic number.

It is not a de Polignac number, because 72947967529 - 2¹ = 72947967527 is a prime.

It is a super-2 number, since 2×72947967529² (a number of 23 digits) contains 22 as substring.

Together with 72947967527, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (72947967527) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36473983764 + 36473983765.

It is an arithmetic number, because the mean of its divisors is an integer number (36473983765).

Almost surely, 2^72947967529 is an apocalyptic number.

It is an amenable number.

72947967529 is a deficient number, since it is larger than the sum of its proper divisors (1).

72947967529 is an equidigital number, since it uses as much as digits as its factorization.

72947967529 is an evil number, because the sum of its binary digits is even.

The product of its digits is 120022560, while the sum is 67.

The spelling of 72947967529 in words is "seventy-two billion, nine hundred forty-seven million, nine hundred sixty-seven thousand, five hundred twenty-nine".