7272711216144 has 200 divisors, whose sum is σ = 23190272424000. Its totient is φ = 2182031136000.

The previous prime is 7272711216143. The next prime is 7272711216157. The reversal of 7272711216144 is 4416121172727.

7272711216144 is a `hidden beast` number, since 7 + 2 + 7 + 2 + 7 + 1 + 1 + 21 + 614 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 7272711216144.

It is not an unprimeable number, because it can be changed into a prime (7272711216143) 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, 1085644 + ... + 3965355.

It is an arithmetic number, because the mean of its divisors is an integer number (115951362120).

Almost surely, 2^{7272711216144} is an apocalyptic number.

It is an amenable number.

7272711216144 is an abundant number, since it is smaller than the sum of its proper divisors (15917561207856).

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

7272711216144 is a wasteful number, since it uses less digits than its factorization.

7272711216144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5051131 (or 5051116 counting only the distinct ones).

The product of its digits is 263424, while the sum is 45.

The spelling of 7272711216144 in words is "seven trillion, two hundred seventy-two billion, seven hundred eleven million, two hundred sixteen thousand, one hundred forty-four".