72707791827600 has 1200 divisors, whose sum is σ = 280778495264256. Its totient is φ = 17983088640000.

The previous prime is 72707791827523. The next prime is 72707791827611. The reversal of 72707791827600 is 672819770727.

72707791827600 is a `hidden beast` number, since 7 + 2 + 7 + 0 + 7 + 7 + 9 + 18 + 2 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2489893000 + ... + 2489922200.

Almost surely, 2^{72707791827600} 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 72707791827600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140389247632128).

72707791827600 is an abundant number, since it is smaller than the sum of its proper divisors (208070703436656).

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

72707791827600 is a wasteful number, since it uses less digits than its factorization.

72707791827600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29366 (or 29346 counting only the distinct ones).

The product of its (nonzero) digits is 29042496, while the sum is 63.

The spelling of 72707791827600 in words is "seventy-two trillion, seven hundred seven billion, seven hundred ninety-one million, eight hundred twenty-seven thousand, six hundred".