72761266296 has 192 divisors, whose sum is σ = 214609824000. Its totient is φ = 22180967424.

The previous prime is 72761266267. The next prime is 72761266411. The reversal of 72761266296 is 69266216727.

72761266296 is a `hidden beast` number, since 7 + 2 + 7 + 6 + 1 + 2 + 6 + 629 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10470295 + ... + 10477241.

It is an arithmetic number, because the mean of its divisors is an integer number (1117759500).

Almost surely, 2^72761266296 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 72761266296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107304912000).

72761266296 is an abundant number, since it is smaller than the sum of its proper divisors (141848557704).

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

72761266296 is a wasteful number, since it uses less digits than its factorization.

72761266296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7218 (or 7211 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 72761266296 in words is "seventy-two billion, seven hundred sixty-one million, two hundred sixty-six thousand, two hundred ninety-six".