72645074307527 has 2 divisors, whose sum is σ = 72645074307528. Its totient is φ = 72645074307526.

The previous prime is 72645074307437. The next prime is 72645074307557. The reversal of 72645074307527 is 72570347054627.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 72645074307527 - 2¹⁰ = 72645074306503 is a prime.

It is a super-3 number, since 3×72645074307527³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72645074307557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36322537153763 + 36322537153764.

It is an arithmetic number, because the mean of its divisors is an integer number (36322537153764).

Almost surely, 2^{72645074307527} is an apocalyptic number.

72645074307527 is a deficient number, since it is larger than the sum of its proper divisors (1).

72645074307527 is an equidigital number, since it uses as much as digits as its factorization.

72645074307527 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69148800, while the sum is 59.

The spelling of 72645074307527 in words is "seventy-two trillion, six hundred forty-five billion, seventy-four million, three hundred seven thousand, five hundred twenty-seven".