75286848 has 224 divisors, whose sum is σ = 254894080. Its totient is φ = 19077120.

The previous prime is 75286847. The next prime is 75286853. The reversal of 75286848 is 84868257.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 75286797 and 75286806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75286847) 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, 541563 + ... + 541701.

It is an arithmetic number, because the mean of its divisors is an integer number (1137920).

Almost surely, 2^75286848 is an apocalyptic number.

75286848 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75286848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127447040).

75286848 is an abundant number, since it is smaller than the sum of its proper divisors (179607232).

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

75286848 is a wasteful number, since it uses less digits than its factorization.

75286848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 195 counting only the distinct ones).

The product of its digits is 860160, while the sum is 48.

The square root of 75286848 is about 8676.7994099207. The cubic root of 75286848 is about 422.2532863982.

The spelling of 75286848 in words is "seventy-five million, two hundred eighty-six thousand, eight hundred forty-eight".