75720304561125 has 64 divisors (see below), whose sum is σ = 147347184771072. Its totient is φ = 33809996404800.

The previous prime is 75720304561093. The next prime is 75720304561199. The reversal of 75720304561125 is 52116540302757.

It is not a de Polignac number, because 75720304561125 - 2⁵ = 75720304561093 is a prime.

It is a super-3 number, since 3×75720304561125³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 335303757 + ... + 335529506.

It is an arithmetic number, because the mean of its divisors is an integer number (2302299762048).

Almost surely, 2^{75720304561125} is an apocalyptic number.

75720304561125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

75720304561125 is a deficient number, since it is larger than the sum of its proper divisors (71626880209947).

75720304561125 is a wasteful number, since it uses less digits than its factorization.

75720304561125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670833331 (or 670833321 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 48.

The spelling of 75720304561125 in words is "seventy-five trillion, seven hundred twenty billion, three hundred four million, five hundred sixty-one thousand, one hundred twenty-five".