72802768896 has 1008 divisors, whose sum is σ = 266688152640. Its totient is φ = 19707494400.

The previous prime is 72802768859. The next prime is 72802768919. The reversal of 72802768896 is 69886720827.

72802768896 is a `hidden beast` number, since 7 + 280 + 276 + 8 + 89 + 6 = 666.

It is a super-3 number, since 3×72802768896³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2348476401 + ... + 2348476431.

It is an arithmetic number, because the mean of its divisors is an integer number (264571580).

Almost surely, 2^72802768896 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 72802768896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133344076320).

72802768896 is an abundant number, since it is smaller than the sum of its proper divisors (193885383744).

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

72802768896 is a wasteful number, since it uses less digits than its factorization.

72802768896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 72802768896 in words is "seventy-two billion, eight hundred two million, seven hundred sixty-eight thousand, eight hundred ninety-six".