72146497133 has 2 divisors, whose sum is σ = 72146497134. Its totient is φ = 72146497132.

The previous prime is 72146497127. The next prime is 72146497207. The reversal of 72146497133 is 33179464127.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41389054249 + 30757442884 = 203443^2 + 175378^2 .

It is an emirp because it is prime and its reverse (33179464127) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72146497133 - 2⁶ = 72146497069 is a prime.

It is a super-3 number, since 3×72146497133³ (a number of 34 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72146497123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36073248566 + 36073248567.

It is an arithmetic number, because the mean of its divisors is an integer number (36073248567).

Almost surely, 2^72146497133 is an apocalyptic number.

It is an amenable number.

72146497133 is a deficient number, since it is larger than the sum of its proper divisors (1).

72146497133 is an equidigital number, since it uses as much as digits as its factorization.

72146497133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 762048, while the sum is 47.

The spelling of 72146497133 in words is "seventy-two billion, one hundred forty-six million, four hundred ninety-seven thousand, one hundred thirty-three".