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72062978904 = 23327641223061
BaseRepresentation
bin100001100011101001…
…0011100101101011000
320220000012012121220200
41003013102130231120
52140041110311104
653034423422200
75130534133260
oct1030722345530
9226005177820
1072062978904
112861a744714
1211b718b4960
136a45972827
1436b89c67a0
151d1b7b3b39
hex10c749cb58

72062978904 has 96 divisors (see below), whose sum is σ = 223401054240. Its totient is φ = 20557209600.

The previous prime is 72062978893. The next prime is 72062978947. The reversal of 72062978904 is 40987926027.

72062978904 is a `hidden beast` number, since 7 + 2 + 0 + 629 + 7 + 8 + 9 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211534 + ... + 434594.

It is an arithmetic number, because the mean of its divisors is an integer number (2327094315).

Almost surely, 272062978904 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 72062978904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111700527120).

72062978904 is an abundant number, since it is smaller than the sum of its proper divisors (151338075336).

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

72062978904 is a wasteful number, since it uses less digits than its factorization.

72062978904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223721 (or 223714 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 72062978904 in words is "seventy-two billion, sixty-two million, nine hundred seventy-eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 641 1282 1923 2564 3846 4487 5128 5769 7692 8974 11538 13461 15384 17948 23076 26922 35896 40383 46152 53844 80766 107688 161532 223061 323064 446122 669183 892244 1338366 1561427 1784488 2007549 2676732 3122854 4015098 4684281 5353464 6245708 8030196 9368562 12491416 14052843 16060392 18737124 28105686 37474248 56211372 112422744 142982101 285964202 428946303 571928404 857892606 1000874707 1143856808 1286838909 1715785212 2001749414 2573677818 3002624121 3431570424 4003498828 5147355636 6005248242 8006997656 9007872363 10294711272 12010496484 18015744726 24020992968 36031489452 72062978904