75289257120 has 768 divisors, whose sum is σ = 322063257600. Its totient is φ = 14306181120.

The previous prime is 75289257107. The next prime is 75289257143. The reversal of 75289257120 is 2175298257.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 75289257120.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20363112 + ... + 20366808.

It is an arithmetic number, because the mean of its divisors is an integer number (419353200).

Almost surely, 2^75289257120 is an apocalyptic number.

75289257120 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 75289257120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161031628800).

75289257120 is an abundant number, since it is smaller than the sum of its proper divisors (246774000480).

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

75289257120 is a wasteful number, since it uses less digits than its factorization.

75289257120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3781 (or 3773 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 75289257120 in words is "seventy-five billion, two hundred eighty-nine million, two hundred fifty-seven thousand, one hundred twenty".