75506256 has 300 divisors, whose sum is σ = 269396820. Its totient is φ = 20321280.

The previous prime is 75506251. The next prime is 75506269. The reversal of 75506256 is 65260557.

It can be written as a sum of positive squares in 2 ways, for example, as 18352656 + 57153600 = 4284^2 + 7560^2 .

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 75506256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75506251) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1841596 + ... + 1841636.

Almost surely, 2^75506256 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 75506256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134698410).

75506256 is an abundant number, since it is smaller than the sum of its proper divisors (193890564).

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

75506256 is a wasteful number, since it uses less digits than its factorization.

75506256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 75506256 is about 8689.4335833816. The cubic root of 75506256 is about 422.6630786260.

The spelling of 75506256 in words is "seventy-five million, five hundred six thousand, two hundred fifty-six".