71472512609280 has 1760 divisors, whose sum is σ = 278732762288640. Its totient is φ = 17467661352960.

The previous prime is 71472512609279. The next prime is 71472512609339. The reversal of 71472512609280 is 8290621527417.

71472512609280 is a `hidden beast` number, since 7 + 1 + 4 + 7 + 2 + 5 + 1 + 2 + 609 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19760162032 + ... + 19760165648.

It is an arithmetic number, because the mean of its divisors is an integer number (158370887664).

Almost surely, 2^{71472512609280} 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 71472512609280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139366381144320).

71472512609280 is an abundant number, since it is smaller than the sum of its proper divisors (207260249679360).

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

71472512609280 is a wasteful number, since it uses less digits than its factorization.

71472512609280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3767 (or 3740 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 71472512609280 in words is "seventy-one trillion, four hundred seventy-two billion, five hundred twelve million, six hundred nine thousand, two hundred eighty".