72547555742640 has 960 divisors, whose sum is σ = 271645331443200. Its totient is φ = 17204764262400.

The previous prime is 72547555742593. The next prime is 72547555742689. The reversal of 72547555742640 is 4624755574527.

72547555742640 is a `hidden beast` number, since 7 + 2 + 5 + 4 + 7 + 55 + 574 + 2 + 6 + 4 + 0 = 666.

72547555742640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 36658693171 + ... + 36658695149.

It is an arithmetic number, because the mean of its divisors is an integer number (282963886920).

Almost surely, 2^{72547555742640} 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 72547555742640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135822665721600).

72547555742640 is an abundant number, since it is smaller than the sum of its proper divisors (199097775700560).

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

72547555742640 is a wasteful number, since it uses less digits than its factorization.

72547555742640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 329280000, while the sum is 63.

The spelling of 72547555742640 in words is "seventy-two trillion, five hundred forty-seven billion, five hundred fifty-five million, seven hundred forty-two thousand, six hundred forty".