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72106418 = 21718111717
BaseRepresentation
bin1000100110001…
…00000110110010
312000200101102002
410103010012302
5121424401133
611053254002
71533615536
oct423040662
9160611362
1072106418
113777a68a
1220194302
1311c28527
14980dbc6
1564e4ce8
hex44c41b2

72106418 has 16 divisors (see below), whose sum is σ = 115164504. Its totient is φ = 33742080.

The previous prime is 72106417. The next prime is 72106423. The reversal of 72106418 is 81460127.

It can be written as a sum of positive squares in 4 ways, for example, as 24730729 + 47375689 = 4973^2 + 6883^2 .

It is not an unprimeable number, because it can be changed into a prime (72106417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 296 + ... + 12012.

Almost surely, 272106418 is an apocalyptic number.

72106418 is a deficient number, since it is larger than the sum of its proper divisors (43058086).

72106418 is a wasteful number, since it uses less digits than its factorization.

72106418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11917.

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 72106418 is about 8491.5497996538. The cubic root of 72106418 is about 416.2216251584.

The spelling of 72106418 in words is "seventy-two million, one hundred six thousand, four hundred eighteen".

Divisors: 1 2 17 34 181 362 3077 6154 11717 23434 199189 398378 2120777 4241554 36053209 72106418