96073120 has 288 divisors, whose sum is σ = 298831680. Its totient is φ = 28753920.

The previous prime is 96073091. The next prime is 96073121. The reversal of 96073120 is 2137069.

It is not an unprimeable number, because it can be changed into a prime (96073121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5056471 + ... + 5056489.

It is an arithmetic number, because the mean of its divisors is an integer number (1037610).

Almost surely, 2^96073120 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 96073120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149415840).

96073120 is an abundant number, since it is smaller than the sum of its proper divisors (202758560).

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

96073120 is a wasteful number, since it uses less digits than its factorization.

96073120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 96073120 is about 9801.6896502593. The cubic root of 96073120 is about 458.0019196096.

The spelling of 96073120 in words is "ninety-six million, seventy-three thousand, one hundred twenty".