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72381733308 = 22328326392107
BaseRepresentation
bin100001101101001001…
…0011001100110111100
320220211102000000202100
41003122102121212330
52141214210431213
653130211425100
75141454403353
oct1033222314674
9226742000670
1072381733308
1128773668605
12120405b5190
136a96a08ac1
14370907c99a
151d39779773
hex10da4999bc

72381733308 has 72 divisors (see below), whose sum is σ = 185875417728. Its totient is φ = 23745663648.

The previous prime is 72381733261. The next prime is 72381733321. The reversal of 72381733308 is 80333718327.

It is a congruent number.

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, 739791 + ... + 831897.

It is an arithmetic number, because the mean of its divisors is an integer number (2581603024).

Almost surely, 272381733308 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 72381733308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92937708864).

72381733308 is an abundant number, since it is smaller than the sum of its proper divisors (113493684420).

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

72381733308 is a wasteful number, since it uses less digits than its factorization.

72381733308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92463 (or 92458 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

It can be divided in two parts, 7238173 and 3308, that added together give a square (7241481 = 26912).

The spelling of 72381733308 in words is "seventy-two billion, three hundred eighty-one million, seven hundred thirty-three thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 263 332 498 526 747 789 996 1052 1494 1578 2367 2988 3156 4734 9468 21829 43658 65487 87316 92107 130974 184214 196461 261948 276321 368428 392922 552642 785844 828963 1105284 1657926 3315852 7644881 15289762 22934643 24224141 30579524 45869286 48448282 68803929 72672423 91738572 96896564 137607858 145344846 218017269 275215716 290689692 436034538 872069076 2010603703 4021207406 6031811109 8042414812 12063622218 18095433327 24127244436 36190866654 72381733308