75825288 has 256 divisors, whose sum is σ = 270950400. Its totient is φ = 19077120.

The previous prime is 75825283. The next prime is 75825313. The reversal of 75825288 is 88252857.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75825283) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 781656 + ... + 781752.

It is an arithmetic number, because the mean of its divisors is an integer number (1058400).

Almost surely, 2^75825288 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 75825288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135475200).

75825288 is an abundant number, since it is smaller than the sum of its proper divisors (195125112).

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

75825288 is a wasteful number, since it uses less digits than its factorization.

75825288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 167 counting only the distinct ones).

The product of its digits is 358400, while the sum is 45.

The square root of 75825288 is about 8707.7717011874. The cubic root of 75825288 is about 423.2575263988.

The spelling of 75825288 in words is "seventy-five million, eight hundred twenty-five thousand, two hundred eighty-eight".