75396096 has 154 divisors (see below), whose sum is σ = 228211842. Its totient is φ = 24883200.

The previous prime is 75396091. The next prime is 75396109. The reversal of 75396096 is 69069357.

75396096 is a `hidden beast` number, since 7 + 5 + 39 + 609 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 74649600 + 746496 = 8640^2 + 864^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75396091) 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 13 ways as a sum of consecutive naturals, for example, 746446 + ... + 746546.

Almost surely, 2^75396096 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 75396096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114105921).

75396096 is an abundant number, since it is smaller than the sum of its proper divisors (152815746).

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

75396096 is an equidigital number, since it uses as much as digits as its factorization.

75396096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 75396096 is about 8683.0925366484. The cubic root of 75396096 is about 422.4574302079.

The spelling of 75396096 in words is "seventy-five million, three hundred ninety-six thousand, ninety-six".