75666150 has 240 divisors, whose sum is σ = 256028256. Its totient is φ = 16174080.

The previous prime is 75666127. The next prime is 75666161. The reversal of 75666150 is 5166657.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 481872 + ... + 482028.

Almost surely, 2^75666150 is an apocalyptic number.

75666150 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 75666150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128014128).

75666150 is an abundant number, since it is smaller than the sum of its proper divisors (180362106).

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

75666150 is a wasteful number, since it uses less digits than its factorization.

75666150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 75666150 is about 8698.6292023514. The cubic root of 75666150 is about 422.9612156986.

The spelling of 75666150 in words is "seventy-five million, six hundred sixty-six thousand, one hundred fifty".