72016516440 has 384 divisors, whose sum is σ = 259044065280. Its totient is φ = 17206502400.

The previous prime is 72016516417. The next prime is 72016516463. The reversal of 72016516440 is 4461561027.

72016516440 is a `hidden beast` number, since 7 + 2 + 0 + 1 + 6 + 5 + 1 + 644 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (72016516417) and next prime (72016516463).

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 = 72016516395 and 72016516404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 156217810 + ... + 156218270.

It is an arithmetic number, because the mean of its divisors is an integer number (674593920).

Almost surely, 2^72016516440 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 72016516440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129522032640).

72016516440 is an abundant number, since it is smaller than the sum of its proper divisors (187027548840).

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

72016516440 is a wasteful number, since it uses less digits than its factorization.

72016516440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 72016516440 in words is "seventy-two billion, sixteen million, five hundred sixteen thousand, four hundred forty".