72960000 has 240 divisors, whose sum is σ = 255855600. Its totient is φ = 18432000.

The previous prime is 72959977. The next prime is 72960007. The reversal of 72960000 is 6927.

It is a tau number, because it is divible by the number of its divisors (240).

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 (72960007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3839991 + ... + 3840009.

It is an arithmetic number, because the mean of its divisors is an integer number (1066065).

Almost surely, 2^72960000 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 72960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127927800).

72960000 is an abundant number, since it is smaller than the sum of its proper divisors (182895600).

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

72960000 is an equidigital number, since it uses as much as digits as its factorization.

72960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 29 counting only the distinct ones).

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

The square root of 72960000 is about 8541.6626016250. The cubic root of 72960000 is about 417.8575707289.

Adding to 72960000 its reverse (6927), we get a palindrome (72966927).

The spelling of 72960000 in words is "seventy-two million, nine hundred sixty thousand".