75000960 has 192 divisors, whose sum is σ = 268515000. Its totient is φ = 19267584.

The previous prime is 75000929. The next prime is 75000971. The reversal of 75000960 is 6900057.

It can be written as a sum of positive squares in 4 ways, for example, as 63872064 + 11128896 = 7992^2 + 3336^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166816 + ... + 167264.

Almost surely, 2^75000960 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 75000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134257500).

75000960 is an abundant number, since it is smaller than the sum of its proper divisors (193514040).

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

75000960 is a wasteful number, since it uses less digits than its factorization.

75000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 75000960 is about 8660.3094632929. The cubic root of 75000960 is about 421.7181319662.

The spelling of 75000960 in words is "seventy-five million, nine hundred sixty", and thus it is an aban number.