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72172424380 = 22572353208627
BaseRepresentation
bin100001100110111001…
…1111100110010111100
320220021211011000212211
41003031303330302330
52140302120040010
653053333310204
75133333325300
oct1031563746274
9226254130784
1072172424380
11286764a7721
1211ba2495364
136a62542674
1436c9355d00
151d261d208a
hex10cdcfccbc

72172424380 has 72 divisors (see below), whose sum is σ = 176807222928. Its totient is φ = 24674614272.

The previous prime is 72172424341. The next prime is 72172424411. The reversal of 72172424380 is 8342427127.

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, 241627 + ... + 450253.

It is an arithmetic number, because the mean of its divisors is an integer number (2455655874).

Almost surely, 272172424380 is an apocalyptic number.

72172424380 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72172424380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88403611464).

72172424380 is an abundant number, since it is smaller than the sum of its proper divisors (104634798548).

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

72172424380 is a wasteful number, since it uses less digits than its factorization.

72172424380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209003 (or 208994 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 40.

The spelling of 72172424380 in words is "seventy-two billion, one hundred seventy-two million, four hundred twenty-four thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 353 490 706 980 1412 1765 2471 3530 4942 7060 9884 12355 17297 24710 34594 49420 69188 86485 172970 208627 345940 417254 834508 1043135 1460389 2086270 2920778 4172540 5841556 7301945 10222723 14603890 20445446 29207780 40890892 51113615 73645331 102227230 147290662 204454460 294581324 368226655 515517317 736453310 1031034634 1472906620 2062069268 2577586585 3608621219 5155173170 7217242438 10310346340 14434484876 18043106095 36086212190 72172424380