72883014600 has 384 divisors, whose sum is σ = 256427337600. Its totient is φ = 16962355200.

The previous prime is 72883014593. The next prime is 72883014619. The reversal of 72883014600 is 641038827.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36939214 + ... + 36941186.

It is an arithmetic number, because the mean of its divisors is an integer number (667779525).

Almost surely, 2^72883014600 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 72883014600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128213668800).

72883014600 is an abundant number, since it is smaller than the sum of its proper divisors (183544323000).

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

72883014600 is a wasteful number, since it uses less digits than its factorization.

72883014600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 72883014600 in words is "seventy-two billion, eight hundred eighty-three million, fourteen thousand, six hundred".