75412128 has 48 divisors (see below), whose sum is σ = 215955936. Its totient is φ = 22851840.

The previous prime is 75412123. The next prime is 75412157. The reversal of 75412128 is 82121457.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 75412095 and 75412104.

It is not an unprimeable number, because it can be changed into a prime (75412123) 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 in 7 ways as a sum of consecutive naturals, for example, 34651 + ... + 36762.

It is an arithmetic number, because the mean of its divisors is an integer number (4499082).

Almost surely, 2^75412128 is an apocalyptic number.

It is an amenable number.

75412128 is an abundant number, since it is smaller than the sum of its proper divisors (140543808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

75412128 is a wasteful number, since it uses less digits than its factorization.

75412128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71437 (or 71429 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 75412128 is about 8684.0156609716. The cubic root of 75412128 is about 422.4873714466.

It can be divided in two parts, 7541 and 2128, that added together give a palindrome (9669).

The spelling of 75412128 in words is "seventy-five million, four hundred twelve thousand, one hundred twenty-eight".