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72146032373 is a prime number
BaseRepresentation
bin100001100110000111…
…1010001011011110101
320220012222111011212002
41003030033101123311
52140223341013443
653050551505045
75132563104542
oct1031417213365
9226188434762
1072146032373
1128662610a48
1211b95688185
136a59c319ac
1436c5a45bc9
151d23c1c2b8
hex10cc3d16f5

72146032373 has 2 divisors, whose sum is σ = 72146032374. Its totient is φ = 72146032372.

The previous prime is 72146032367. The next prime is 72146032417. The reversal of 72146032373 is 37323064127.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 43238211844 + 28907820529 = 207938^2 + 170023^2 .

It is an emirp because it is prime and its reverse (37323064127) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-72146032373 is a prime.

It is a super-2 number, since 2×721460323732 (a number of 23 digits) contains 22 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 (72146037373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36073016186 + 36073016187.

It is an arithmetic number, because the mean of its divisors is an integer number (36073016187).

Almost surely, 272146032373 is an apocalyptic number.

It is an amenable number.

72146032373 is a deficient number, since it is larger than the sum of its proper divisors (1).

72146032373 is an equidigital number, since it uses as much as digits as its factorization.

72146032373 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 127008, while the sum is 38.

The spelling of 72146032373 in words is "seventy-two billion, one hundred forty-six million, thirty-two thousand, three hundred seventy-three".