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72492000320 = 265404955949
BaseRepresentation
bin100001110000011011…
…1000010010001000000
320221010002111011122202
41003200313002101000
52141430423002240
653145151052332
75144263556465
oct1034067022100
9227102434582
1072492000320
112881a931873
12120715110a8
136ab380585c
14371998366c
151d442ab315
hex10e0dc2440

72492000320 has 56 divisors (see below), whose sum is σ = 172667295000. Its totient is φ = 28989120512.

The previous prime is 72492000283. The next prime is 72492000337. The reversal of 72492000320 is 2300029427.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 242861056 + 72249139264 = 15584^2 + 268792^2 .

It is a super-2 number, since 2×724920003202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1267706 + ... + 1323654.

Almost surely, 272492000320 is an apocalyptic number.

It is an amenable number.

72492000320 is an abundant number, since it is smaller than the sum of its proper divisors (100175294680).

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

72492000320 is a wasteful number, since it uses less digits than its factorization.

72492000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60015 (or 60005 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

Adding to 72492000320 its reverse (2300029427), we get a palindrome (74792029747).

The spelling of 72492000320 in words is "seventy-two billion, four hundred ninety-two million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 4049 8098 16196 20245 32392 40490 55949 64784 80980 111898 129568 161960 223796 259136 279745 323920 447592 559490 647840 895184 1118980 1295680 1790368 2237960 3580736 4475920 8951840 17903680 226537501 453075002 906150004 1132687505 1812300008 2265375010 3624600016 4530750020 7249200032 9061500040 14498400064 18123000080 36246000160 72492000320