75065200 has 240 divisors, whose sum is σ = 232485120. Its totient is φ = 22671360.

The previous prime is 75065189. The next prime is 75065201. The reversal of 75065200 is 256057.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75065201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 904359 + ... + 904441.

It is an arithmetic number, because the mean of its divisors is an integer number (968688).

Almost surely, 2^75065200 is an apocalyptic number.

75065200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75065200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116242560).

75065200 is an abundant number, since it is smaller than the sum of its proper divisors (157419920).

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

75065200 is a wasteful number, since it uses less digits than its factorization.

75065200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 75065200 is about 8664.0175438419. The cubic root of 75065200 is about 421.8385012777.

The spelling of 75065200 in words is "seventy-five million, sixty-five thousand, two hundred".