72792730080 has 864 divisors, whose sum is σ = 315592018560. Its totient is φ = 15754798080.

The previous prime is 72792730079. The next prime is 72792730103. The reversal of 72792730080 is 8003729727.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36196275 + ... + 36198285.

It is an arithmetic number, because the mean of its divisors is an integer number (365268540).

Almost surely, 2^72792730080 is an apocalyptic number.

72792730080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72792730080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157796009280).

72792730080 is an abundant number, since it is smaller than the sum of its proper divisors (242799288480).

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

72792730080 is a wasteful number, since it uses less digits than its factorization.

72792730080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 72792730080 in words is "seventy-two billion, seven hundred ninety-two million, seven hundred thirty thousand, eighty".