72714516480 has 480 divisors, whose sum is σ = 269707838400. Its totient is φ = 18715705344.

The previous prime is 72714516463. The next prime is 72714516487. The reversal of 72714516480 is 8461541727.

72714516480 is a `hidden beast` number, since 7 + 27 + 145 + 1 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72714516487) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24052249 + ... + 24055271.

It is an arithmetic number, because the mean of its divisors is an integer number (561891330).

Almost surely, 2^72714516480 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 72714516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134853919200).

72714516480 is an abundant number, since it is smaller than the sum of its proper divisors (196993321920).

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

72714516480 is a wasteful number, since it uses less digits than its factorization.

72714516480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3091 (or 3062 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 72714516480 in words is "seventy-two billion, seven hundred fourteen million, five hundred sixteen thousand, four hundred eighty".