75071128 has 64 divisors (see below), whose sum is σ = 164592000. Its totient is φ = 31737600.

The previous prime is 75071089. The next prime is 75071137. The reversal of 75071128 is 82117057.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 75071128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98268 + ... + 99028.

It is an arithmetic number, because the mean of its divisors is an integer number (2571750).

Almost surely, 2^75071128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75071128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82296000).

75071128 is an abundant number, since it is smaller than the sum of its proper divisors (89520872).

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

75071128 is a wasteful number, since it uses less digits than its factorization.

75071128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 31.

The square root of 75071128 is about 8664.3596416585. The cubic root of 75071128 is about 421.8496053704.

The spelling of 75071128 in words is "seventy-five million, seventy-one thousand, one hundred twenty-eight".