75882048 has 224 divisors, whose sum is σ = 241889280. Its totient is φ = 20736000.

The previous prime is 75882047. The next prime is 75882071. The reversal of 75882048 is 84028857.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75882043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1243938 + ... + 1243998.

Almost surely, 2^75882048 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 75882048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120944640).

75882048 is an abundant number, since it is smaller than the sum of its proper divisors (166007232).

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

75882048 is a wasteful number, since it uses less digits than its factorization.

75882048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 75882048 is about 8711.0302490578. The cubic root of 75882048 is about 423.3631116893.

The spelling of 75882048 in words is "seventy-five million, eight hundred eighty-two thousand, forty-eight".