72775872 has 84 divisors (see below), whose sum is σ = 224668080. Its totient is φ = 22390272.

The previous prime is 72775847. The next prime is 72775873. The reversal of 72775872 is 27857727.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (72775873) 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 11 ways as a sum of consecutive naturals, for example, 2629 + ... + 12347.

It is an arithmetic number, because the mean of its divisors is an integer number (2674620).

Almost surely, 2^72775872 is an apocalyptic number.

72775872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72775872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112334040).

72775872 is an abundant number, since it is smaller than the sum of its proper divisors (151892208).

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

72775872 is a wasteful number, since it uses less digits than its factorization.

72775872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9750 (or 9737 counting only the distinct ones).

The product of its digits is 384160, while the sum is 45.

The square root of 72775872 is about 8530.8775632991. The cubic root of 72775872 is about 417.5057610928.

The spelling of 72775872 in words is "seventy-two million, seven hundred seventy-five thousand, eight hundred seventy-two".