75005127 has 12 divisors (see below), whose sum is σ = 108910464. Its totient is φ = 49740480.

The previous prime is 75005111. The next prime is 75005137. The reversal of 75005127 is 72150057.

It is not a de Polignac number, because 75005127 - 2⁴ = 75005111 is a prime.

It is a super-2 number, since 2×75005127² = 11251538152572258, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 75005127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75005137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20098 + ... + 23535.

It is an arithmetic number, because the mean of its divisors is an integer number (9075872).

Almost surely, 2^75005127 is an apocalyptic number.

75005127 is a deficient number, since it is larger than the sum of its proper divisors (33905337).

75005127 is a wasteful number, since it uses less digits than its factorization.

75005127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43830 (or 43827 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 75005127 is about 8660.5500402688. The cubic root of 75005127 is about 421.7259419414.

The spelling of 75005127 in words is "seventy-five million, five thousand, one hundred twenty-seven".