75096384 has 168 divisors, whose sum is σ = 230026464. Its totient is φ = 21427200.

The previous prime is 75096383. The next prime is 75096409. The reversal of 75096384 is 48369057.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75096383) 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 23 ways as a sum of consecutive naturals, for example, 2029614 + ... + 2029650.

Almost surely, 2^75096384 is an apocalyptic number.

75096384 is a gapful number since it is divisible by the number (74) 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 75096384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115013232).

75096384 is an abundant number, since it is smaller than the sum of its proper divisors (154930080).

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

75096384 is a wasteful number, since it uses less digits than its factorization.

75096384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 75096384 is about 8665.8169839894. The cubic root of 75096384 is about 421.8969073507.

The spelling of 75096384 in words is "seventy-five million, ninety-six thousand, three hundred eighty-four".