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72342687744 = 212328392339
BaseRepresentation
bin100001101011111110…
…1011101000000000000
320220201200112022022100
41003113331131000000
52141124212001434
653122254510400
75140501462035
oct1032775350000
9226650468270
1072342687744
112875361a048
121202b505400
136a8b8b7812
143703bd738c
151d36115699
hex10d7f5d000

72342687744 has 156 divisors (see below), whose sum is σ = 209302984800. Its totient is φ = 24075190272.

The previous prime is 72342687721. The next prime is 72342687763. The reversal of 72342687744 is 44778624327.

72342687744 is a `hidden beast` number, since 72 + 3 + 426 + 87 + 74 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30927727 + ... + 30930065.

It is an arithmetic number, because the mean of its divisors is an integer number (1341685800).

Almost surely, 272342687744 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 72342687744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104651492400).

72342687744 is an abundant number, since it is smaller than the sum of its proper divisors (136960297056).

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

72342687744 is a wasteful number, since it uses less digits than its factorization.

72342687744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3208 (or 3183 counting only the distinct ones).

The product of its digits is 12644352, while the sum is 54.

The spelling of 72342687744 in words is "seventy-two billion, three hundred forty-two million, six hundred eighty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 839 1024 1152 1536 1678 2048 2304 2339 2517 3072 3356 4096 4608 4678 5034 6144 6712 7017 7551 9216 9356 10068 12288 13424 14034 15102 18432 18712 20136 21051 26848 28068 30204 36864 37424 40272 42102 53696 56136 60408 74848 80544 84204 107392 112272 120816 149696 161088 168408 214784 224544 241632 299392 322176 336816 429568 449088 483264 598784 644352 673632 859136 898176 966528 1197568 1288704 1347264 1718272 1796352 1933056 1962421 2395136 2577408 2694528 3436544 3592704 3866112 3924842 4790272 5154816 5389056 5887263 7185408 7732224 7849684 9580544 10309632 10778112 11774526 14370816 15464448 15699368 17661789 21556224 23549052 28741632 30928896 31398736 35323578 43112448 47098104 62797472 70647156 86224896 94196208 125594944 141294312 188392416 251189888 282588624 376784832 502379776 565177248 753569664 1004759552 1130354496 1507139328 2009519104 2260708992 3014278656 4019038208 4521417984 6028557312 8038076416 9042835968 12057114624 18085671936 24114229248 36171343872 72342687744