75727313000 has 64 divisors (see below), whose sum is σ = 178391538000. Its totient is φ = 30087571200.

The previous prime is 75727312897. The next prime is 75727313017. The reversal of 75727313000 is 31372757.

It can be written as a sum of positive squares in 8 ways, for example, as 3453442756 + 72273870244 = 58766^2 + 268838^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105119 + ... + 403118.

Almost surely, 2^75727313000 is an apocalyptic number.

It is an amenable number.

75727313000 is an abundant number, since it is smaller than the sum of its proper divisors (102664225000).

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

75727313000 is a wasteful number, since it uses less digits than its factorization.

75727313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508407 (or 508393 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 35.

Adding to 75727313000 its reverse (31372757), we get a palindrome (75758685757).

The spelling of 75727313000 in words is "seventy-five billion, seven hundred twenty-seven million, three hundred thirteen thousand".