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72263440 = 2454719219
BaseRepresentation
bin1000100111010…
…10011100010000
312000222100210201
410103222130100
5121444412230
611100504544
71535141404
oct423523420
9160870721
1072263440
1137877657
122024b154
1311c81b42
149851104
1565265ca
hex44ea710

72263440 has 40 divisors (see below), whose sum is σ = 171596160. Its totient is φ = 28288896.

The previous prime is 72263431. The next prime is 72263501. The reversal of 72263440 is 4436227.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 72263399 and 72263408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5850 + ... + 13369.

It is an arithmetic number, because the mean of its divisors is an integer number (4289904).

Almost surely, 272263440 is an apocalyptic number.

It is an amenable number.

72263440 is an abundant number, since it is smaller than the sum of its proper divisors (99332720).

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

72263440 is a wasteful number, since it uses less digits than its factorization.

72263440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19279 (or 19273 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 72263440 is about 8500.7905514723. The cubic root of 72263440 is about 416.5235334143.

Adding to 72263440 its reverse (4436227), we get a palindrome (76699667).

The spelling of 72263440 in words is "seventy-two million, two hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3760 19219 38438 76876 96095 153752 192190 307504 384380 768760 903293 1537520 1806586 3613172 4516465 7226344 9032930 14452688 18065860 36131720 72263440