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72259344133 is a prime number
BaseRepresentation
bin100001101001011111…
…1100001011100000101
320220111212201000100221
41003102333201130011
52140441343003013
653110120304341
75135440201534
oct1032277413405
9226455630327
1072259344133
1128710574829
12120076120b1
136a77556582
1436d6b0031b
151d2db5108d
hex10d2fe1705

72259344133 has 2 divisors, whose sum is σ = 72259344134. Its totient is φ = 72259344132.

The previous prime is 72259344089. The next prime is 72259344149. The reversal of 72259344133 is 33144395227.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71986499809 + 272844324 = 268303^2 + 16518^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-72259344133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72259344133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72259344233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36129672066 + 36129672067.

It is an arithmetic number, because the mean of its divisors is an integer number (36129672067).

Almost surely, 272259344133 is an apocalyptic number.

It is an amenable number.

72259344133 is a deficient number, since it is larger than the sum of its proper divisors (1).

72259344133 is an equidigital number, since it uses as much as digits as its factorization.

72259344133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 544320, while the sum is 43.

The spelling of 72259344133 in words is "seventy-two billion, two hundred fifty-nine million, three hundred forty-four thousand, one hundred thirty-three".