72484651008 has 912 divisors, whose sum is σ = 286889846400. Its totient is φ = 17836277760.

The previous prime is 72484651003. The next prime is 72484651033. The reversal of 72484651008 is 80015648427.

72484651008 is a `hidden beast` number, since 7 + 2 + 484 + 65 + 100 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (912).

It is not an unprimeable number, because it can be changed into a prime (72484651003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3814981623 + ... + 3814981641.

It is an arithmetic number, because the mean of its divisors is an integer number (314572200).

Almost surely, 2^72484651008 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 72484651008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143444923200).

72484651008 is an abundant number, since it is smaller than the sum of its proper divisors (214405195392).

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

72484651008 is an equidigital number, since it uses as much as digits as its factorization.

72484651008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 72484651008 in words is "seventy-two billion, four hundred eighty-four million, six hundred fifty-one thousand, eight".