75013807728 has 160 divisors (see below), whose sum is σ = 199049760000. Its totient is φ = 24336949248.

The previous prime is 75013807721. The next prime is 75013807741. The reversal of 75013807728 is 82770831057.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75013807721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150328023 + ... + 150328521.

It is an arithmetic number, because the mean of its divisors is an integer number (1244061000).

Almost surely, 2^75013807728 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 75013807728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99524880000).

75013807728 is an abundant number, since it is smaller than the sum of its proper divisors (124035952272).

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

75013807728 is a wasteful number, since it uses less digits than its factorization.

75013807728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 48.

The spelling of 75013807728 in words is "seventy-five billion, thirteen million, eight hundred seven thousand, seven hundred twenty-eight".