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72822273 = 3411813271
BaseRepresentation
bin1000101011100…
…10111000000001
312002000202101020
410111302320001
5122120303043
611120500053
71542656556
oct425627001
9162022336
1072822273
11381194a7
122047a629
1312119304
149958a2d
1565d6e83
hex4572e01

72822273 has 16 divisors (see below), whose sum is σ = 100044672. Its totient is φ = 47088000.

The previous prime is 72822257. The next prime is 72822283. The reversal of 72822273 is 37222827.

It is not a de Polignac number, because 72822273 - 24 = 72822257 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72822283) 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, 20628 + ... + 23898.

It is an arithmetic number, because the mean of its divisors is an integer number (6252792).

Almost surely, 272822273 is an apocalyptic number.

It is an amenable number.

72822273 is a deficient number, since it is larger than the sum of its proper divisors (27222399).

72822273 is a wasteful number, since it uses less digits than its factorization.

72822273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496.

The product of its digits is 18816, while the sum is 33.

The square root of 72822273 is about 8533.5967211956. The cubic root of 72822273 is about 417.5944744190.

The spelling of 72822273 in words is "seventy-two million, eight hundred twenty-two thousand, two hundred seventy-three".

Divisors: 1 3 41 123 181 543 3271 7421 9813 22263 134111 402333 592051 1776153 24274091 72822273