75007129 has 2 divisors, whose sum is σ = 75007130. Its totient is φ = 75007128.

The previous prime is 75007087. The next prime is 75007133. The reversal of 75007129 is 92170057.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62047129 + 12960000 = 7877^2 + 3600^2 .

It is a cyclic number.

It is not a de Polignac number, because 75007129 - 2⁷ = 75007001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 75007129.

It is not a weakly prime, because it can be changed into another prime (75007139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37503564 + 37503565.

It is an arithmetic number, because the mean of its divisors is an integer number (37503565).

Almost surely, 2^75007129 is an apocalyptic number.

It is an amenable number.

75007129 is a deficient number, since it is larger than the sum of its proper divisors (1).

75007129 is an equidigital number, since it uses as much as digits as its factorization.

75007129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4410, while the sum is 31.

The square root of 75007129 is about 8660.6656210709. The cubic root of 75007129 is about 421.7296940752.

The spelling of 75007129 in words is "seventy-five million, seven thousand, one hundred twenty-nine".