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72217890 = 2325802421
BaseRepresentation
bin1000100110111…
…11010100100010
312000220001022200
410103133110202
5121441433030
611055514030
71534561533
oct423372442
9160801280
1072217890
1137846408
1220228916
1311c671a4
14983c68a
156517d60
hex44df522

72217890 has 24 divisors (see below), whose sum is σ = 187766748. Its totient is φ = 19258080.

The previous prime is 72217889. The next prime is 72217909. The reversal of 72217890 is 9871227.

It can be written as a sum of positive squares in 2 ways, for example, as 69405561 + 2812329 = 8331^2 + 1677^2 .

It is an unprimeable number.

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, 401121 + ... + 401300.

Almost surely, 272217890 is an apocalyptic number.

72217890 is an abundant number, since it is smaller than the sum of its proper divisors (115548858).

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

72217890 is a wasteful number, since it uses less digits than its factorization.

72217890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802434 (or 802431 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 72217890 is about 8498.1109665619. The cubic root of 72217890 is about 416.4359989031.

The spelling of 72217890 in words is "seventy-two million, two hundred seventeen thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 802421 1604842 2407263 4012105 4814526 7221789 8024210 12036315 14443578 24072630 36108945 72217890