72867742056 has 96 divisors (see below), whose sum is σ = 209141524800. Its totient is φ = 22840496640.

The previous prime is 72867742037. The next prime is 72867742067. The reversal of 72867742056 is 65024776827.

72867742056 is a `hidden beast` number, since 72 + 86 + 77 + 420 + 5 + 6 = 666.

It is a super-2 number, since 2×72867742056² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72867741993 and 72867742011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1407885 + ... + 1458723.

It is an arithmetic number, because the mean of its divisors is an integer number (2178557550).

Almost surely, 2^72867742056 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 72867742056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104570762400).

72867742056 is an abundant number, since it is smaller than the sum of its proper divisors (136273782744).

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

72867742056 is a wasteful number, since it uses less digits than its factorization.

72867742056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52039 (or 52032 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 72867742056 in words is "seventy-two billion, eight hundred sixty-seven million, seven hundred forty-two thousand, fifty-six".