75488256 has 66 divisors (see below), whose sum is σ = 217997312. Its totient is φ = 25159680.

The previous prime is 75488249. The next prime is 75488261. The reversal of 75488256 is 65288457.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5121 + ... + 13311.

Almost surely, 2^75488256 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 75488256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108998656).

75488256 is an abundant number, since it is smaller than the sum of its proper divisors (142509056).

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

75488256 is a wasteful number, since it uses less digits than its factorization.

75488256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8217 (or 8196 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 75488256 is about 8688.3977809490. The cubic root of 75488256 is about 422.6294896209.

The spelling of 75488256 in words is "seventy-five million, four hundred eighty-eight thousand, two hundred fifty-six".