72212394240 has 1440 divisors, whose sum is σ = 316258145280. Its totient is φ = 15383789568.

The previous prime is 72212394229. The next prime is 72212394259. The reversal of 72212394240 is 4249321227.

It is a happy number.

72212394240 is a `hidden beast` number, since 7 + 2 + 21 + 2 + 394 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72212394195 and 72212394204.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 989210844 + ... + 989210916.

It is an arithmetic number, because the mean of its divisors is an integer number (219623712).

Almost surely, 2^72212394240 is an apocalyptic number.

72212394240 is a gapful number since it is divisible by the number (70) 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 72212394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158129072640).

72212394240 is an abundant number, since it is smaller than the sum of its proper divisors (244045751040).

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

72212394240 is a wasteful number, since it uses less digits than its factorization.

72212394240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 72212394240 in words is "seventy-two billion, two hundred twelve million, three hundred ninety-four thousand, two hundred forty".