96007200 has 144 divisors (see below), whose sum is σ = 316229760. Its totient is φ = 25297920.

The previous prime is 96007169. The next prime is 96007201. The reversal of 96007200 is 270069.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (96007201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261417 + ... + 261783.

It is an arithmetic number, because the mean of its divisors is an integer number (2196040).

Almost surely, 2^96007200 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 96007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158114880).

96007200 is an abundant number, since it is smaller than the sum of its proper divisors (220222560).

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

96007200 is a wasteful number, since it uses less digits than its factorization.

96007200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 96007200 is about 9798.3263877052. The cubic root of 96007200 is about 457.8971438776.

Adding to 96007200 its reverse (270069), we get a palindrome (96277269).

The spelling of 96007200 in words is "ninety-six million, seven thousand, two hundred".