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72635450077 is a prime number
BaseRepresentation
bin100001110100101101…
…0010000001011011101
320221111002102011201201
41003221122100023131
52142224133400302
653211313435501
75150655065401
oct1035132201335
9227432364651
1072635450077
11288938aa793
12120b156bb91
136b07450178
143730a45101
151d51b94c87
hex10e96902dd

72635450077 has 2 divisors, whose sum is σ = 72635450078. Its totient is φ = 72635450076.

The previous prime is 72635450051. The next prime is 72635450131. The reversal of 72635450077 is 77005453627.

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., 65631266596 + 7004183481 = 256186^2 + 83691^2 .

It is an emirp because it is prime and its reverse (77005453627) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-72635450077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72635450477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36317725038 + 36317725039.

It is an arithmetic number, because the mean of its divisors is an integer number (36317725039).

Almost surely, 272635450077 is an apocalyptic number.

It is an amenable number.

72635450077 is a deficient number, since it is larger than the sum of its proper divisors (1).

72635450077 is an equidigital number, since it uses as much as digits as its factorization.

72635450077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1234800, while the sum is 46.

The spelling of 72635450077 in words is "seventy-two billion, six hundred thirty-five million, four hundred fifty thousand, seventy-seven".