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72472918728 = 23373125155441
BaseRepresentation
bin100001101111110111…
…0001111101011001000
320221001202120201122010
41003133232033223020
52141411031344403
653143230055520
75143642434150
oct1033756175310
9227052521563
1072472918728
1128810089561
121206704a5a0
136aac884482
143717217760
151d4278c603
hex10dfb8fac8

72472918728 has 128 divisors (see below), whose sum is σ = 214600458240. Its totient is φ = 19958400000.

The previous prime is 72472918711. The next prime is 72472918729. The reversal of 72472918728 is 82781927427.

It is not an unprimeable number, because it can be changed into a prime (72472918729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1279488 + ... + 1334928.

It is an arithmetic number, because the mean of its divisors is an integer number (1676566080).

Almost surely, 272472918728 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 72472918728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107300229120).

72472918728 is an abundant number, since it is smaller than the sum of its proper divisors (142127539512).

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

72472918728 is a wasteful number, since it uses less digits than its factorization.

72472918728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55739 (or 55735 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 57.

The spelling of 72472918728 in words is "seventy-two billion, four hundred seventy-two million, nine hundred eighteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 251 372 434 502 651 744 753 868 1004 1302 1506 1736 1757 2008 2604 3012 3514 5208 5271 6024 7028 7781 10542 14056 15562 21084 23343 31124 42168 46686 54467 55441 62248 93372 108934 110882 163401 166323 186744 217868 221764 326802 332646 388087 435736 443528 653604 665292 776174 1164261 1307208 1330584 1552348 1718671 2328522 3104696 3437342 4657044 5156013 6874684 9314088 10312026 12030697 13749368 13915691 20624052 24061394 27831382 36092091 41248104 41747073 48122788 55662764 72184182 83494146 96245576 97409837 111325528 144368364 166988292 194819674 288736728 292229511 333976584 389639348 431386421 584459022 779278696 862772842 1168918044 1294159263 1725545684 2337836088 2588318526 3019704947 3451091368 5176637052 6039409894 9059114841 10353274104 12078819788 18118229682 24157639576 36236459364 72472918728