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76072172832 = 25321715537617
BaseRepresentation
bin100011011011001000…
…0010011110100100000
321021100121012210001200
41012312100103310200
52221243434012312
654540322401200
75332065541305
oct1066620236440
9237317183050
1076072172832
112a297838427
12128b0500200
137234462c26
1439792510ac
151ea37530dc
hex11b6413d20

76072172832 has 72 divisors (see below), whose sum is σ = 229055564556. Its totient is φ = 23865778176.

The previous prime is 76072172821. The next prime is 76072172833. The reversal of 76072172832 is 23827127067.

76072172832 is a `hidden beast` number, since 7 + 607 + 2 + 1 + 7 + 2 + 8 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65190344976 + 10881827856 = 255324^2 + 104316^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (76072172833) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7763913 + ... + 7773704.

Almost surely, 276072172832 is an apocalyptic number.

76072172832 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

76072172832 is an abundant number, since it is smaller than the sum of its proper divisors (152983391724).

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

76072172832 is a wasteful number, since it uses less digits than its factorization.

76072172832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15537650 (or 15537639 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

Adding to 76072172832 its reverse (23827127067), we get a palindrome (99899299899).

The spelling of 76072172832 in words is "seventy-six billion, seventy-two million, one hundred seventy-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 15537617 31075234 46612851 62150468 93225702 124300936 139838553 186451404 248601872 264139489 279677106 372902808 497203744 528278978 559354212 745805616 792418467 1056557956 1118708424 1491611232 1584836934 2113115912 2237416848 2377255401 3169673868 4226231824 4474833696 4754510802 6339347736 8452463648 9509021604 12678695472 19018043208 25357390944 38036086416 76072172832