75468096 has 168 divisors, whose sum is σ = 242340384. Its totient is φ = 22256640.

The previous prime is 75468091. The next prime is 75468097. The reversal of 75468096 is 69086457.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75468091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272310 + ... + 272586.

Almost surely, 2^75468096 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 75468096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121170192).

75468096 is an abundant number, since it is smaller than the sum of its proper divisors (166872288).

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

75468096 is a wasteful number, since it uses less digits than its factorization.

75468096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 75468096 is about 8687.2375356036. The cubic root of 75468096 is about 422.5918635956.

The spelling of 75468096 in words is "seventy-five million, four hundred sixty-eight thousand, ninety-six".