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73267272 = 23321378277
BaseRepresentation
bin1000101110111…
…11100001001000
312002212100210200
410113133201020
5122224023042
611134212200
71546522131
oct427374110
9162770720
1073267272
11383a2871
1220654060
1312243a20
149a32c88
156673c4c
hex45df848

73267272 has 48 divisors (see below), whose sum is σ = 213698940. Its totient is φ = 22543488.

The previous prime is 73267267. The next prime is 73267273. The reversal of 73267272 is 27276237.

It can be written as a sum of positive squares in 2 ways, for example, as 54552996 + 18714276 = 7386^2 + 4326^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (73267273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38203 + ... + 40074.

Almost surely, 273267272 is an apocalyptic number.

73267272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

73267272 is an abundant number, since it is smaller than the sum of its proper divisors (140431668).

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

73267272 is a wasteful number, since it uses less digits than its factorization.

73267272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78302 (or 78295 counting only the distinct ones).

The product of its digits is 49392, while the sum is 36.

The square root of 73267272 is about 8559.6303658511. The cubic root of 73267272 is about 418.4433533722.

The spelling of 73267272 in words is "seventy-three million, two hundred sixty-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 78277 156554 234831 313108 469662 626216 704493 939324 1017601 1408986 1878648 2035202 2817972 3052803 4070404 5635944 6105606 8140808 9158409 12211212 18316818 24422424 36633636 73267272