72772808752 has 80 divisors (see below), whose sum is σ = 171070479360. Its totient is φ = 29275997184.

The previous prime is 72772808711. The next prime is 72772808761. The reversal of 72772808752 is 25780827727.

It is a junction number, because it is equal to n+sod(n) for n = 72772808693 and 72772808702.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 671193 + ... + 772039.

It is an arithmetic number, because the mean of its divisors is an integer number (2138380992).

Almost surely, 2^72772808752 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 72772808752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85535239680).

72772808752 is an abundant number, since it is smaller than the sum of its proper divisors (98297670608).

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

72772808752 is a wasteful number, since it uses less digits than its factorization.

72772808752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101258 (or 101252 counting only the distinct ones).

The product of its (nonzero) digits is 6146560, while the sum is 55.

The spelling of 72772808752 in words is "seventy-two billion, seven hundred seventy-two million, eight hundred eight thousand, seven hundred fifty-two".