72660340512000 has 1728 divisors, whose sum is σ = 286972090030080. Its totient is φ = 17584128000000.

The previous prime is 72660340511989. The next prime is 72660340512037. The reversal of 72660340512000 is 21504306627.

72660340512000 is a `hidden beast` number, since 7 + 2 + 6 + 60 + 340 + 51 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17132829880 + ... + 17132834120.

It is an arithmetic number, because the mean of its divisors is an integer number (166071811360).

Almost surely, 2^{72660340512000} 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 72660340512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143486045015040).

72660340512000 is an abundant number, since it is smaller than the sum of its proper divisors (214311749518080).

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

72660340512000 is a wasteful number, since it uses less digits than its factorization.

72660340512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4429 (or 4402 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 72660340512000 its reverse (21504306627), we get a palindrome (72681844818627).

The spelling of 72660340512000 in words is "seventy-two trillion, six hundred sixty billion, three hundred forty million, five hundred twelve thousand".