75872256 has 96 divisors (see below), whose sum is σ = 206977680. Its totient is φ = 24707072.

The previous prime is 75872219. The next prime is 75872261. The reversal of 75872256 is 65227857.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 325516 + ... + 325748.

Almost surely, 2^75872256 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 75872256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103488840).

75872256 is an abundant number, since it is smaller than the sum of its proper divisors (131105424).

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

75872256 is a wasteful number, since it uses less digits than its factorization.

75872256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 291 counting only the distinct ones).

The product of its digits is 235200, while the sum is 42.

The square root of 75872256 is about 8710.4681848911. The cubic root of 75872256 is about 423.3449003115.

The spelling of 75872256 in words is "seventy-five million, eight hundred seventy-two thousand, two hundred fifty-six".