75528000 has 168 divisors, whose sum is σ = 270433800. Its totient is φ = 20121600.

The previous prime is 75527993. The next prime is 75528031. The reversal of 75528000 is 82557.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 46656 + 75481344 = 216^2 + 8688^2 .

It is a congruent number.

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, 71476 + ... + 72524.

It is an arithmetic number, because the mean of its divisors is an integer number (1609725).

Almost surely, 2^75528000 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 75528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135216900).

75528000 is an abundant number, since it is smaller than the sum of its proper divisors (194905800).

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

75528000 is a wasteful number, since it uses less digits than its factorization.

75528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 75528000 is about 8690.6846680800. The cubic root of 75528000 is about 422.7036470257.

The spelling of 75528000 in words is "seventy-five million, five hundred twenty-eight thousand".