75133200 has 240 divisors, whose sum is σ = 265697280. Its totient is φ = 18063360.

The previous prime is 75133147. The next prime is 75133211. The reversal of 75133200 is 233157.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 591537 + ... + 591663.

It is an arithmetic number, because the mean of its divisors is an integer number (1107072).

Almost surely, 2^75133200 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 75133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132848640).

75133200 is an abundant number, since it is smaller than the sum of its proper divisors (190564080).

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

75133200 is a wasteful number, since it uses less digits than its factorization.

75133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 75133200 is about 8667.9409319630. The cubic root of 75133200 is about 421.9658410691.

Adding to 75133200 its reverse (233157), we get a palindrome (75366357).

The spelling of 75133200 in words is "seventy-five million, one hundred thirty-three thousand, two hundred".