75029 has 2 divisors, whose sum is σ = 75030. Its totient is φ = 75028.

The previous prime is 75017. The next prime is 75037. The reversal of 75029 is 92057.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40804 + 34225 = 202^2 + 185^2 .

It is a cyclic number.

It is not a de Polignac number, because 75029 - 2^{4} = 75013 is a prime.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 74995 and 75013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (75079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37514 + 37515.

It is an arithmetic number, because the mean of its divisors is an integer number (37515).

2^{75029} is an apocalyptic number.

It is an amenable number.

75029 is a deficient number, since it is larger than the sum of its proper divisors (1).

75029 is an equidigital number, since it uses as much as digits as its factorization.

75029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 75029 is about 273.9142201493. The cubic root of 75029 is about 42.1770680196.

The spelling of 75029 in words is "seventy-five thousand, twenty-nine".

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