72286288242 has 64 divisors (see below), whose sum is σ = 169830743040. Its totient is φ = 20078525376.

The previous prime is 72286288189. The next prime is 72286288273. The reversal of 72286288242 is 24288268227.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1938013 + ... + 1974959.

It is an arithmetic number, because the mean of its divisors is an integer number (2653605360).

Almost surely, 2^72286288242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72286288242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84915371520).

72286288242 is an abundant number, since it is smaller than the sum of its proper divisors (97544454798).

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

72286288242 is a wasteful number, since it uses less digits than its factorization.

72286288242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38255.

The product of its digits is 2752512, while the sum is 51.

The spelling of 72286288242 in words is "seventy-two billion, two hundred eighty-six million, two hundred eighty-eight thousand, two hundred forty-two".