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72052205715720 = 23325404671494587
BaseRepresentation
bin10000011000011111110110…
…001000001000000100001000
3100110010010100002201202112100
4100120133312020020010020
533421000404130400340
6413124154254113400
721114412553266656
oct2030376610100410
9313103302652470
1072052205715720
1120a5a19480290a
1280b8249aab860
133128655c90c09
1413b14b996ddd6
1584e39ad13830
hex4187f6208108

72052205715720 has 96 divisors (see below), whose sum is σ = 234170720709120. Its totient is φ = 19213835195520.

The previous prime is 72052205715713. The next prime is 72052205715757. The reversal of 72052205715720 is 2751750225027.

It is a happy number.

72052205715720 is a `hidden beast` number, since 7 + 2 + 0 + 5 + 2 + 2 + 0 + 5 + 71 + 572 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 145434267 + ... + 145928853.

It is an arithmetic number, because the mean of its divisors is an integer number (2439278340720).

Almost surely, 272052205715720 is an apocalyptic number.

It is an amenable number.

72052205715720 is an abundant number, since it is smaller than the sum of its proper divisors (162118514993400).

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

72052205715720 is a wasteful number, since it uses less digits than its factorization.

72052205715720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899275 (or 899268 counting only the distinct ones).

The product of its (nonzero) digits is 686000, while the sum is 45.

The spelling of 72052205715720 in words is "seventy-two trillion, fifty-two billion, two hundred five million, seven hundred fifteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 404671 494587 809342 989174 1214013 1483761 1618684 1978348 2023355 2428026 2472935 2967522 3237368 3642039 3956696 4046710 4451283 4856052 4945870 5935044 6070065 7284078 7418805 8093420 8902566 9712104 9891740 11870088 12140130 14568156 14837610 16186840 17805132 18210195 19783480 22256415 24280260 29136312 29675220 35610264 36420390 44512830 48560520 59350440 72840780 89025660 145681560 178051320 200145015877 400290031754 600435047631 800580063508 1000725079385 1200870095262 1601160127016 1801305142893 2001450158770 2401740190524 3002175238155 3602610285786 4002900317540 4803480381048 6004350476310 7205220571572 8005800635080 9006525714465 12008700952620 14410441143144 18013051428930 24017401905240 36026102857860 72052205715720