96372800 has 168 divisors, whose sum is σ = 257007360. Its totient is φ = 35481600.

The previous prime is 96372799. The next prime is 96372803. The reversal of 96372800 is 827369.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (96372803) 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, 1438367 + ... + 1438433.

Almost surely, 2^96372800 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 96372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128503680).

96372800 is an abundant number, since it is smaller than the sum of its proper divisors (160634560).

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

96372800 is a wasteful number, since it uses less digits than its factorization.

96372800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 96372800 is about 9816.9649077503. The cubic root of 96372800 is about 458.4776390419.

The spelling of 96372800 in words is "ninety-six million, three hundred seventy-two thousand, eight hundred".