75852450 has 84 divisors (see below), whose sum is σ = 211633218. Its totient is φ = 20217600.

The previous prime is 75852449. The next prime is 75852457. The reversal of 75852450 is 5425857.

It is a happy number.

75852450 is a `hidden beast` number, since 7 + 585 + 24 + 50 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 51969681 + 23882769 = 7209^2 + 4887^2 .

It is not an unprimeable number, because it can be changed into a prime (75852457) 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 41 ways as a sum of consecutive naturals, for example, 35410 + ... + 37490.

Almost surely, 2^75852450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75852450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105816609).

75852450 is an abundant number, since it is smaller than the sum of its proper divisors (135780768).

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

75852450 is a wasteful number, since it uses less digits than its factorization.

75852450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 75852450 is about 8709.3312027962. The cubic root of 75852450 is about 423.3080598851.

The spelling of 75852450 in words is "seventy-five million, eight hundred fifty-two thousand, four hundred fifty".