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72807321373 is a prime number
BaseRepresentation
bin100001111001110100…
…1111000111100011101
320221221001211010211021
41003303221320330131
52143102133240443
653240333324141
75155143010033
oct1036351707435
9227831733737
1072807321373
1128971920186
121213b036651
136b33c39167
1437497c4553
151d61ce49ed
hex10f3a78f1d

72807321373 has 2 divisors, whose sum is σ = 72807321374. Its totient is φ = 72807321372.

The previous prime is 72807321371. The next prime is 72807321451. The reversal of 72807321373 is 37312370827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64101125124 + 8706196249 = 253182^2 + 93307^2 .

It is a cyclic number.

It is not a de Polignac number, because 72807321373 - 21 = 72807321371 is a prime.

It is a super-2 number, since 2×728073213732 (a number of 23 digits) contains 22 as substring.

Together with 72807321371, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72807321371) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36403660686 + 36403660687.

It is an arithmetic number, because the mean of its divisors is an integer number (36403660687).

Almost surely, 272807321373 is an apocalyptic number.

It is an amenable number.

72807321373 is a deficient number, since it is larger than the sum of its proper divisors (1).

72807321373 is an equidigital number, since it uses as much as digits as its factorization.

72807321373 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 296352, while the sum is 43.

The spelling of 72807321373 in words is "seventy-two billion, eight hundred seven million, three hundred twenty-one thousand, three hundred seventy-three".