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72976425768 = 2334359313699
BaseRepresentation
bin100001111110110111…
…0111110001100101000
320222100212000112110000
41003331232332030220
52143423431111033
653305214023000
75162265245541
oct1037556761450
9228325015400
1072976425768
1128a49320884
12121877a7a60
136b5cc9692c
1437640434c8
151d71a99a13
hex10fdbbe328

72976425768 has 80 divisors (see below), whose sum is σ = 204971580000. Its totient is φ = 24257638944.

The previous prime is 72976425763. The next prime is 72976425779. The reversal of 72976425768 is 86752467927.

72976425768 is a `hidden beast` number, since 72 + 9 + 76 + 425 + 76 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (72976425761) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 75783 + ... + 389481.

It is an arithmetic number, because the mean of its divisors is an integer number (2562144750).

Almost surely, 272976425768 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 72976425768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102485790000).

72976425768 is an abundant number, since it is smaller than the sum of its proper divisors (131995154232).

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

72976425768 is a wasteful number, since it uses less digits than its factorization.

72976425768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314076 (or 314063 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 63.

The spelling of 72976425768 in words is "seventy-two billion, nine hundred seventy-six million, four hundred twenty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 359 648 718 1077 1436 2154 2872 3231 4308 6462 8616 9693 12924 19386 25848 29079 38772 58158 77544 116316 232632 313699 627398 941097 1254796 1882194 2509592 2823291 3764388 5646582 7528776 8469873 11293164 16939746 22586328 25409619 33879492 50819238 67758984 101638476 112617941 203276952 225235882 337853823 450471764 675707646 900943528 1013561469 1351415292 2027122938 2702830584 3040684407 4054245876 6081368814 8108491752 9122053221 12162737628 18244106442 24325475256 36488212884 72976425768