75245130720 has 576 divisors, whose sum is σ = 284864973120. Its totient is φ = 18000052224.

The previous prime is 75245130677. The next prime is 75245130743. The reversal of 75245130720 is 2703154257.

75245130720 is a `hidden beast` number, since 75 + 2 + 4 + 513 + 0 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58922722 + ... + 58923998.

It is an arithmetic number, because the mean of its divisors is an integer number (494557245).

Almost surely, 2^75245130720 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 75245130720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142432486560).

75245130720 is an abundant number, since it is smaller than the sum of its proper divisors (209619842400).

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

75245130720 is a wasteful number, since it uses less digits than its factorization.

75245130720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

Adding to 75245130720 its reverse (2703154257), we get a palindrome (77948284977).

The spelling of 75245130720 in words is "seventy-five billion, two hundred forty-five million, one hundred thirty thousand, seven hundred twenty".