75076000 has 72 divisors (see below), whose sum is σ = 185817996. Its totient is φ = 29811200.

The previous prime is 75075989. The next prime is 75076003. The reversal of 75076000 is 67057.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 5253264 + 69822736 = 2292^2 + 8356^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (75076003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 547932 + ... + 548068.

Almost surely, 2^75076000 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 75076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92908998).

75076000 is an abundant number, since it is smaller than the sum of its proper divisors (110741996).

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

75076000 is an equidigital number, since it uses as much as digits as its factorization.

75076000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 25.

The square root of 75076000 is about 8664.6407888614. The cubic root of 75076000 is about 421.8587309684.

The spelling of 75076000 in words is "seventy-five million, seventy-six thousand".