75200328 has 96 divisors (see below), whose sum is σ = 245044800. Its totient is φ = 20352384.

The previous prime is 75200311. The next prime is 75200339. The reversal of 75200328 is 82300257.

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, 5650 + ... + 13502.

It is an arithmetic number, because the mean of its divisors is an integer number (2552550).

Almost surely, 2^75200328 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 75200328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122522400).

75200328 is an abundant number, since it is smaller than the sum of its proper divisors (169844472).

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

75200328 is a wasteful number, since it uses less digits than its factorization.

75200328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7891 (or 7884 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 75200328 is about 8671.8122673407. The cubic root of 75200328 is about 422.0914725753.

The spelling of 75200328 in words is "seventy-five million, two hundred thousand, three hundred twenty-eight".