75082086720 has 336 divisors, whose sum is σ = 268230705600. Its totient is φ = 19262251008.

The previous prime is 75082086671. The next prime is 75082086721. The reversal of 75082086720 is 2768028057.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75082086721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8292756 + ... + 8301804.

Almost surely, 2^75082086720 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 75082086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134115352800).

75082086720 is an abundant number, since it is smaller than the sum of its proper divisors (193148618880).

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

75082086720 is a wasteful number, since it uses less digits than its factorization.

75082086720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9182 (or 9169 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 75082086720 in words is "seventy-five billion, eighty-two million, eighty-six thousand, seven hundred twenty".