75928000 has 56 divisors (see below), whose sum is σ = 188055504. Its totient is φ = 30368000.

The previous prime is 75927997. The next prime is 75928031. The reversal of 75928000 is 82957.

It is a super-2 number, since 2×75928000² = 11530122368000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3255 + ... + 12745.

It is an arithmetic number, because the mean of its divisors is an integer number (3358134).

Almost surely, 2^75928000 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 75928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94027752).

75928000 is an abundant number, since it is smaller than the sum of its proper divisors (112127504).

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

75928000 is an equidigital number, since it uses as much as digits as its factorization.

75928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9518 (or 9498 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 75928000 is about 8713.6674253726. The cubic root of 75928000 is about 423.4485533123.

The spelling of 75928000 in words is "seventy-five million, nine hundred twenty-eight thousand".