75252240000 has 1440 divisors, whose sum is σ = 330565435200. Its totient is φ = 16982784000.

The previous prime is 75252239989. The next prime is 75252240139. The reversal of 75252240000 is 4225257.

75252240000 is a `hidden beast` number, since 7 + 5 + 252 + 2 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 952559961 + ... + 952560039.

It is an arithmetic number, because the mean of its divisors is an integer number (229559330).

Almost surely, 2^75252240000 is an apocalyptic number.

75252240000 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 75252240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165282717600).

75252240000 is an abundant number, since it is smaller than the sum of its proper divisors (255313195200).

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

75252240000 is an frugal number, since it uses more digits than its factorization.

75252240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

Adding to 75252240000 its reverse (4225257), we get a palindrome (75256465257).

The spelling of 75252240000 in words is "seventy-five billion, two hundred fifty-two million, two hundred forty thousand".