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73079129 is a prime number
BaseRepresentation
bin1000101101100…
…01100101011001
312002111210201102
410112301211121
5122202013004
611130201145
71545106454
oct426614531
9162453642
1073079129
1138284482
12205831b5
13121a91b6
1499c449b
15663811e
hex45b1959

73079129 has 2 divisors, whose sum is σ = 73079130. Its totient is φ = 73079128.

The previous prime is 73079113. The next prime is 73079131. The reversal of 73079129 is 92197037.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56595529 + 16483600 = 7523^2 + 4060^2 .

It is a cyclic number.

It is not a de Polignac number, because 73079129 - 24 = 73079113 is a prime.

Together with 73079131, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 73079092 and 73079101.

It is not a weakly prime, because it can be changed into another prime (73379129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36539564 + 36539565.

It is an arithmetic number, because the mean of its divisors is an integer number (36539565).

Almost surely, 273079129 is an apocalyptic number.

It is an amenable number.

73079129 is a deficient number, since it is larger than the sum of its proper divisors (1).

73079129 is an equidigital number, since it uses as much as digits as its factorization.

73079129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23814, while the sum is 38.

The square root of 73079129 is about 8548.6331656002. The cubic root of 73079129 is about 418.0848728401.

The spelling of 73079129 in words is "seventy-three million, seventy-nine thousand, one hundred twenty-nine".