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72258085227 = 3127679327919
BaseRepresentation
bin100001101001011101…
…0101110000101101011
320220111210100001110210
41003102322232011223
52140441032211402
653110033312203
75135423406336
oct1032272560553
9226453301423
1072258085227
112870a894a09
1212007105663
136a77205563
1436d689361d
151d2d9a306c
hex10d2eae16b

72258085227 has 16 divisors (see below), whose sum is σ = 97120501760. Its totient is φ = 47784002112.

The previous prime is 72258085201. The next prime is 72258085283.

72258085227 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72258085227 - 27 = 72258085099 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72258095227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2574174 + ... + 2602092.

It is an arithmetic number, because the mean of its divisors is an integer number (6070031360).

Almost surely, 272258085227 is an apocalyptic number.

72258085227 is a deficient number, since it is larger than the sum of its proper divisors (24862416533).

72258085227 is a wasteful number, since it uses less digits than its factorization.

72258085227 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34842.

The product of its (nonzero) digits is 1254400, while the sum is 48.

The spelling of 72258085227 in words is "seventy-two billion, two hundred fifty-eight million, eighty-five thousand, two hundred twenty-seven".

Divisors: 1 3 127 381 6793 20379 27919 83757 862711 2588133 3545713 10637139 189653767 568961301 24086028409 72258085227