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72732342101 is a prime number
BaseRepresentation
bin100001110111100101…
…1110111011101010101
320221201211201210121012
41003233023313131111
52142423434421401
653225054302005
75153242464416
oct1035713673525
9227654653535
1072732342101
1128933569141
1212119ab7905
136b21546123
14373d86780d
151d5a4338bb
hex10ef2f7755

72732342101 has 2 divisors, whose sum is σ = 72732342102. Its totient is φ = 72732342100.

The previous prime is 72732342091. The next prime is 72732342121. The reversal of 72732342101 is 10124323727.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55991863876 + 16740478225 = 236626^2 + 129385^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-72732342101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72732342121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36366171050 + 36366171051.

It is an arithmetic number, because the mean of its divisors is an integer number (36366171051).

Almost surely, 272732342101 is an apocalyptic number.

It is an amenable number.

72732342101 is a deficient number, since it is larger than the sum of its proper divisors (1).

72732342101 is an equidigital number, since it uses as much as digits as its factorization.

72732342101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14112, while the sum is 32.

Adding to 72732342101 its reverse (10124323727), we get a palindrome (82856665828).

The spelling of 72732342101 in words is "seventy-two billion, seven hundred thirty-two million, three hundred forty-two thousand, one hundred one".