75128256 has 112 divisors (see below), whose sum is σ = 252455680. Its totient is φ = 21461760.

The previous prime is 75128237. The next prime is 75128257. The reversal of 75128256 is 65282157.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 75128256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75128257) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8991 + ... + 15201.

Almost surely, 2^75128256 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 75128256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126227840).

75128256 is an abundant number, since it is smaller than the sum of its proper divisors (177327424).

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

75128256 is a wasteful number, since it uses less digits than its factorization.

75128256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6239 (or 6223 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 75128256 is about 8667.6557384335. The cubic root of 75128256 is about 421.9565853078.

The spelling of 75128256 in words is "seventy-five million, one hundred twenty-eight thousand, two hundred fifty-six".