72047568240 has 240 divisors, whose sum is σ = 247439162880. Its totient is φ = 18780303360.

The previous prime is 72047568221. The next prime is 72047568259. The reversal of 72047568240 is 4286574027.

It is a happy number.

72047568240 is a `hidden beast` number, since 7 + 2 + 0 + 47 + 568 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (72047568221) and next prime (72047568259).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 10719601 + ... + 10726319.

It is an arithmetic number, because the mean of its divisors is an integer number (1030996512).

Almost surely, 2^72047568240 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 72047568240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123719581440).

72047568240 is an abundant number, since it is smaller than the sum of its proper divisors (175391594640).

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

72047568240 is a wasteful number, since it uses less digits than its factorization.

72047568240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7072 (or 7063 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 72047568240 in words is "seventy-two billion, forty-seven million, five hundred sixty-eight thousand, two hundred forty".