72216446832 has 120 divisors (see below), whose sum is σ = 214703601840. Its totient is φ = 23484971520.

The previous prime is 72216446803. The next prime is 72216446849. The reversal of 72216446832 is 23864461227.

It is a happy number.

72216446832 is a `hidden beast` number, since 7 + 22 + 164 + 468 + 3 + 2 = 666.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 67107 + ... + 385922.

It is an arithmetic number, because the mean of its divisors is an integer number (1789196682).

Almost surely, 2^72216446832 is an apocalyptic number.

72216446832 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 72216446832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107351800920).

72216446832 is an abundant number, since it is smaller than the sum of its proper divisors (142487155008).

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

72216446832 is a wasteful number, since it uses less digits than its factorization.

72216446832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453093 (or 453075 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 72216446832 in words is "seventy-two billion, two hundred sixteen million, four hundred forty-six thousand, eight hundred thirty-two".