72314581248 has 720 divisors, whose sum is σ = 279495905920. Its totient is φ = 18059231232.

The previous prime is 72314581247. The next prime is 72314581277. The reversal of 72314581248 is 84218541327.

72314581248 is a `hidden beast` number, since 7 + 23 + 1 + 4 + 581 + 2 + 48 = 666.

It is a super-2 number, since 2×72314581248² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72314581247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35851536 + ... + 35853552.

Almost surely, 2^72314581248 is an apocalyptic number.

72314581248 is a gapful number since it is divisible by the number (78) 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 72314581248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139747952960).

72314581248 is an abundant number, since it is smaller than the sum of its proper divisors (207181324672).

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

72314581248 is a wasteful number, since it uses less digits than its factorization.

72314581248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2061 counting only the distinct ones).

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

The spelling of 72314581248 in words is "seventy-two billion, three hundred fourteen million, five hundred eighty-one thousand, two hundred forty-eight".