72885800 has 144 divisors (see below), whose sum is σ = 195859860. Its totient is φ = 25067520.

The previous prime is 72885797. The next prime is 72885809. The reversal of 72885800 is 858827.

It can be written as a sum of positive squares in 18 ways, for example, as 329476 + 72556324 = 574^2 + 8518^2 .

It is not an unprimeable number, because it can be changed into a prime (72885809) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 751352 + ... + 751448.

Almost surely, 2^72885800 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 72885800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97929930).

72885800 is an abundant number, since it is smaller than the sum of its proper divisors (122974060).

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

72885800 is a wasteful number, since it uses less digits than its factorization.

72885800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 38.

The square root of 72885800 is about 8537.3180800530. The cubic root of 72885800 is about 417.7158695760.

The spelling of 72885800 in words is "seventy-two million, eight hundred eighty-five thousand, eight hundred".