72716727600 has 360 divisors, whose sum is σ = 278028816624. Its totient is φ = 17452800000.

The previous prime is 72716727583. The next prime is 72716727613. The reversal of 72716727600 is 672761727.

72716727600 is a `hidden beast` number, since 7 + 2 + 7 + 16 + 7 + 27 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3990510 + ... + 4008690.

Almost surely, 2^72716727600 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 72716727600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139014408312).

72716727600 is an abundant number, since it is smaller than the sum of its proper divisors (205312089024).

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

72716727600 is a wasteful number, since it uses less digits than its factorization.

72716727600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18317 (or 18303 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The spelling of 72716727600 in words is "seventy-two billion, seven hundred sixteen million, seven hundred twenty-seven thousand, six hundred".