96072000 has 112 divisors (see below), whose sum is σ = 317308992. Its totient is φ = 25612800.

The previous prime is 96071993. The next prime is 96072013. The reversal of 96072000 is 27069.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21999 + ... + 26001.

It is an arithmetic number, because the mean of its divisors is an integer number (2833116).

Almost surely, 2^96072000 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 96072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158654496).

96072000 is an abundant number, since it is smaller than the sum of its proper divisors (221236992).

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

96072000 is a wasteful number, since it uses less digits than its factorization.

96072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4033 (or 4013 counting only the distinct ones).

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

The square root of 96072000 is about 9801.6325170861. The cubic root of 96072000 is about 458.0001398397. Note that the first 3 decimals are identical.

Adding to 96072000 its reverse (27069), we get a palindrome (96099069).

The spelling of 96072000 in words is "ninety-six million, seventy-two thousand".