72720014544000 has 1024 divisors, whose sum is σ = 276267250022400. Its totient is φ = 18790963200000.

The previous prime is 72720014543971. The next prime is 72720014544061. The reversal of 72720014544000 is 44541002727.

72720014544000 is a `hidden beast` number, since 7 + 2 + 7 + 200 + 1 + 4 + 5 + 440 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2050686270 + ... + 2050721730.

It is an arithmetic number, because the mean of its divisors is an integer number (269792236350).

Almost surely, 2^{72720014544000} 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 72720014544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138133625011200).

72720014544000 is an abundant number, since it is smaller than the sum of its proper divisors (203547235478400).

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

72720014544000 is a wasteful number, since it uses less digits than its factorization.

72720014544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35647 (or 35619 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

Adding to 72720014544000 its reverse (44541002727), we get a palindrome (72764555546727).

The spelling of 72720014544000 in words is "seventy-two trillion, seven hundred twenty billion, fourteen million, five hundred forty-four thousand".