7271552745600 has 4608 divisors, whose sum is σ = 33841434009600. Its totient is φ = 1343029248000.

The previous prime is 7271552745599. The next prime is 7271552745647. The reversal of 7271552745600 is 65472551727.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 234566217585 + ... + 234566217615.

It is an arithmetic number, because the mean of its divisors is an integer number (7344061200).

Almost surely, 2^{7271552745600} 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 7271552745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16920717004800).

7271552745600 is an abundant number, since it is smaller than the sum of its proper divisors (26569881264000).

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

7271552745600 is a wasteful number, since it uses less digits than its factorization.

7271552745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 4116000, while the sum is 51.

The spelling of 7271552745600 in words is "seven trillion, two hundred seventy-one billion, five hundred fifty-two million, seven hundred forty-five thousand, six hundred".