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72683281 = 11371071669
BaseRepresentation
bin1000101010100…
…00111100010001
312001202200201101
410111100330101
5122101331111
611113504401
71541540416
oct425207421
9161680641
1072683281
1138034030
1220412101
131209ac78
14992010d
1565aabc1
hex4550f11

72683281 has 16 divisors (see below), whose sum is σ = 82244160. Its totient is φ = 63650880.

The previous prime is 72683263. The next prime is 72683293. The reversal of 72683281 is 18238627.

It is the 3481-st star number.

It is a cyclic number.

It is not a de Polignac number, because 72683281 - 213 = 72675089 is a prime.

It is a super-2 number, since 2×726832812 = 10565718673849922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72683281.

It is not an unprimeable number, because it can be changed into a prime (72683231) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 42715 + ... + 44383.

It is an arithmetic number, because the mean of its divisors is an integer number (5140260).

Almost surely, 272683281 is an apocalyptic number.

It is an amenable number.

72683281 is a deficient number, since it is larger than the sum of its proper divisors (9560879).

72683281 is a wasteful number, since it uses less digits than its factorization.

72683281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824.

The product of its digits is 32256, while the sum is 37.

The square root of 72683281 is about 8525.4490204329. The cubic root of 72683281 is about 417.3286250874.

The spelling of 72683281 in words is "seventy-two million, six hundred eighty-three thousand, two hundred eighty-one".

Divisors: 1 11 37 107 407 1177 1669 3959 18359 43549 61753 178583 679283 1964413 6607571 72683281