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72259344149 is a prime number
BaseRepresentation
bin100001101001011111…
…1100001011100010101
320220111212201000101112
41003102333201130111
52140441343003044
653110120304405
75135440201556
oct1032277413425
9226455630345
1072259344149
1128710574843
1212007612105
136a77556595
1436d6b0032d
151d2db5109e
hex10d2fe1715

72259344149 has 2 divisors, whose sum is σ = 72259344150. Its totient is φ = 72259344148.

The previous prime is 72259344133. The next prime is 72259344187. The reversal of 72259344149 is 94144395227.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58165380625 + 14093963524 = 241175^2 + 118718^2 .

It is a cyclic number.

It is not a de Polignac number, because 72259344149 - 24 = 72259344133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72259344097 and 72259344106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72259344349) 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, 36129672074 + 36129672075.

It is an arithmetic number, because the mean of its divisors is an integer number (36129672075).

Almost surely, 272259344149 is an apocalyptic number.

It is an amenable number.

72259344149 is a deficient number, since it is larger than the sum of its proper divisors (1).

72259344149 is an equidigital number, since it uses as much as digits as its factorization.

72259344149 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2177280, while the sum is 50.

The spelling of 72259344149 in words is "seventy-two billion, two hundred fifty-nine million, three hundred forty-four thousand, one hundred forty-nine".