72988260352 has 192 divisors, whose sum is σ = 178319232000. Its totient is φ = 29185474560.

The previous prime is 72988260349. The next prime is 72988260379. The reversal of 72988260352 is 25306288927.

It is a super-2 number, since 2×72988260352² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72988260352.

It is a congruent number.

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, 13516149 + ... + 13521547.

It is an arithmetic number, because the mean of its divisors is an integer number (928746000).

Almost surely, 2^72988260352 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 72988260352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89159616000).

72988260352 is an abundant number, since it is smaller than the sum of its proper divisors (105330971648).

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

72988260352 is a wasteful number, since it uses less digits than its factorization.

72988260352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5492 (or 5472 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 72988260352 in words is "seventy-two billion, nine hundred eighty-eight million, two hundred sixty thousand, three hundred fifty-two".