72855600 has 120 divisors (see below), whose sum is σ = 235944720. Its totient is φ = 19215360.

The previous prime is 72855581. The next prime is 72855623. The reversal of 72855600 is 655827.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

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, 130522 + ... + 131078.

It is an arithmetic number, because the mean of its divisors is an integer number (1966206).

Almost surely, 2^72855600 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 72855600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117972360).

72855600 is an abundant number, since it is smaller than the sum of its proper divisors (163089120).

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

72855600 is a wasteful number, since it uses less digits than its factorization.

72855600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 72855600 is about 8535.5491914698. The cubic root of 72855600 is about 417.6581685241.

The spelling of 72855600 in words is "seventy-two million, eight hundred fifty-five thousand, six hundred".