72782112 has 96 divisors (see below), whose sum is σ = 212950080. Its totient is φ = 21611520.

The previous prime is 72782077. The next prime is 72782123. The reversal of 72782112 is 21128727.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 72782112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35187 + ... + 37197.

It is an arithmetic number, because the mean of its divisors is an integer number (2218230).

Almost surely, 2^72782112 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 72782112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106475040).

72782112 is an abundant number, since it is smaller than the sum of its proper divisors (140167968).

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

72782112 is a wasteful number, since it uses less digits than its factorization.

72782112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2058 counting only the distinct ones).

The product of its digits is 3136, while the sum is 30.

The square root of 72782112 is about 8531.2432857116. The cubic root of 72782112 is about 417.5176934426.

The spelling of 72782112 in words is "seventy-two million, seven hundred eighty-two thousand, one hundred twelve".