72718318440 has 192 divisors, whose sum is σ = 238219684560. Its totient is φ = 19237478400.

The previous prime is 72718318381. The next prime is 72718318447. The reversal of 72718318440 is 4481381727.

72718318440 is a `hidden beast` number, since 7 + 27 + 183 + 1 + 8 + 440 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 69010239204 + 3708079236 = 262698^2 + 60894^2 .

It is a super-3 number, since 3×72718318440³ (a number of 34 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (72718318447) 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, 28437642 + ... + 28440198.

Almost surely, 2^72718318440 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 72718318440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119109842280).

72718318440 is an abundant number, since it is smaller than the sum of its proper divisors (165501366120).

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

72718318440 is a wasteful number, since it uses less digits than its factorization.

72718318440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3172 (or 3165 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 72718318440 in words is "seventy-two billion, seven hundred eighteen million, three hundred eighteen thousand, four hundred forty".