72632572358720 has 1792 divisors, whose sum is σ = 214711761567744. Its totient is φ = 23123460096000.

The previous prime is 72632572358713. The next prime is 72632572358761. The reversal of 72632572358720 is 2785327523627.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 72632572358720.

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 255 ways as a sum of consecutive naturals, for example, 748789405712 + ... + 748789405808.

It is an arithmetic number, because the mean of its divisors is an integer number (119816831232).

Almost surely, 2^{72632572358720} 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 72632572358720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107355880783872).

72632572358720 is an abundant number, since it is smaller than the sum of its proper divisors (142079189209024).

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

72632572358720 is a wasteful number, since it uses less digits than its factorization.

72632572358720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 59.

The spelling of 72632572358720 in words is "seventy-two trillion, six hundred thirty-two billion, five hundred seventy-two million, three hundred fifty-eight thousand, seven hundred twenty".