75735728 has 80 divisors (see below), whose sum is σ = 160275456. Its totient is φ = 34594560.

The previous prime is 75735719. The next prime is 75735739. The reversal of 75735728 is 82753757.

Its product of digits (411600) is a multiple of the sum of its prime divisors (196).

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, 1130351 + ... + 1130417.

Almost surely, 2^75735728 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 75735728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80137728).

75735728 is an abundant number, since it is smaller than the sum of its proper divisors (84539728).

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

75735728 is a wasteful number, since it uses less digits than its factorization.

75735728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 196 counting only the distinct ones).

The product of its digits is 411600, while the sum is 44.

The square root of 75735728 is about 8702.6276491644. The cubic root of 75735728 is about 423.0908191376.

The spelling of 75735728 in words is "seventy-five million, seven hundred thirty-five thousand, seven hundred twenty-eight".