75075712 has 32 divisors (see below), whose sum is σ = 150965100. Its totient is φ = 37186560.

The previous prime is 75075709. The next prime is 75075727. The reversal of 75075712 is 21757057.

It can be written as a sum of positive squares in 2 ways, for example, as 75064896 + 10816 = 8664^2 + 104^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11262 + ... + 16642.

Almost surely, 2^75075712 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 75075712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75482550).

75075712 is an abundant number, since it is smaller than the sum of its proper divisors (75889388).

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

75075712 is a wasteful number, since it uses less digits than its factorization.

75075712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5504 (or 5492 counting only the distinct ones).

The product of its (nonzero) digits is 17150, while the sum is 34.

The square root of 75075712 is about 8664.6241695760. The cubic root of 75075712 is about 421.8581915352.

The spelling of 75075712 in words is "seventy-five million, seventy-five thousand, seven hundred twelve".