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72587164141 is a prime number
BaseRepresentation
bin100001110011010001…
…0000011100111101101
320221100201112222212201
41003212202003213231
52142124303223031
653202430501501
75146530500152
oct1034642034755
9227321488781
1072587164141
112886961a858
1212099364891
136aca444ccb
143728476229
151d4c807d61
hex10e68839ed

72587164141 has 2 divisors, whose sum is σ = 72587164142. Its totient is φ = 72587164140.

The previous prime is 72587164129. The next prime is 72587164151. The reversal of 72587164141 is 14146178527.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71728088041 + 859076100 = 267821^2 + 29310^2 .

It is a cyclic number.

It is not a de Polignac number, because 72587164141 - 227 = 72452946413 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72587164091 and 72587164100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72587164151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36293582070 + 36293582071.

It is an arithmetic number, because the mean of its divisors is an integer number (36293582071).

Almost surely, 272587164141 is an apocalyptic number.

It is an amenable number.

72587164141 is a deficient number, since it is larger than the sum of its proper divisors (1).

72587164141 is an equidigital number, since it uses as much as digits as its factorization.

72587164141 is an evil number, because the sum of its binary digits is even.

The product of its digits is 376320, while the sum is 46.

The spelling of 72587164141 in words is "seventy-two billion, five hundred eighty-seven million, one hundred sixty-four thousand, one hundred forty-one".