75143200 has 72 divisors (see below), whose sum is σ = 200143440. Its totient is φ = 27321600.

The previous prime is 75143171. The next prime is 75143209. The reversal of 75143200 is 234157.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (75143209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4531 + ... + 13069.

It is an arithmetic number, because the mean of its divisors is an integer number (2779770).

Almost surely, 2^75143200 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 75143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100071720).

75143200 is an abundant number, since it is smaller than the sum of its proper divisors (125000240).

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

75143200 is a wasteful number, since it uses less digits than its factorization.

75143200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8570 (or 8557 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 75143200 is about 8668.5177510345. The cubic root of 75143200 is about 421.9845610278.

Adding to 75143200 its reverse (234157), we get a palindrome (75377357).

The spelling of 75143200 in words is "seventy-five million, one hundred forty-three thousand, two hundred".