72959097600 has 648 divisors, whose sum is σ = 277050725952. Its totient is φ = 18985881600.

The previous prime is 72959097581. The next prime is 72959097661. The reversal of 72959097600 is 679095927.

72959097600 is a `hidden beast` number, since 7 + 29 + 5 + 9 + 0 + 9 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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 71 ways as a sum of consecutive naturals, for example, 66873055 + ... + 66874145.

Almost surely, 2^72959097600 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 72959097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138525362976).

72959097600 is an abundant number, since it is smaller than the sum of its proper divisors (204091628352).

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

72959097600 is a wasteful number, since it uses less digits than its factorization.

72959097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 72959097600 in words is "seventy-two billion, nine hundred fifty-nine million, ninety-seven thousand, six hundred".