75538129 has 8 divisors (see below), whose sum is σ = 79617440. Its totient is φ = 71469216.

The previous prime is 75538087. The next prime is 75538147. The reversal of 75538129 is 92183557.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 75538129 - 2¹⁵ = 75505361 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 75538091 and 75538100.

It is not an unprimeable number, because it can be changed into a prime (75538189) 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 in 7 ways as a sum of consecutive naturals, for example, 15682 + ... + 19924.

It is an arithmetic number, because the mean of its divisors is an integer number (9952180).

Almost surely, 2^75538129 is an apocalyptic number.

It is an amenable number.

75538129 is a deficient number, since it is larger than the sum of its proper divisors (4079311).

75538129 is a wasteful number, since it uses less digits than its factorization.

75538129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5199.

The product of its digits is 75600, while the sum is 40.

The square root of 75538129 is about 8691.2673989471. The cubic root of 75538129 is about 422.7225423310.

The spelling of 75538129 in words is "seventy-five million, five hundred thirty-eight thousand, one hundred twenty-nine".