72348729569280 has 416 divisors, whose sum is σ = 264160182484800. Its totient is φ = 18771556958208.

The previous prime is 72348729569269. The next prime is 72348729569293. The reversal of 72348729569280 is 8296592784327.

72348729569280 is a `hidden beast` number, since 7 + 2 + 3 + 487 + 2 + 9 + 5 + 69 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 72348729569199 and 72348729569208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18691426 + ... + 22227614.

Almost surely, 2^{72348729569280} 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 72348729569280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132080091242400).

72348729569280 is an abundant number, since it is smaller than the sum of its proper divisors (191811452915520).

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

72348729569280 is a wasteful number, since it uses less digits than its factorization.

72348729569280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3536264 (or 3536236 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 72348729569280 in words is "seventy-two trillion, three hundred forty-eight billion, seven hundred twenty-nine million, five hundred sixty-nine thousand, two hundred eighty".