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72212770 = 2572178669
BaseRepresentation
bin1000100110111…
…10000100100010
312000212210022001
410103132010202
5121441302040
611055434214
71534540600
oct423360442
9160783261
1072212770
1137842583
122022596a
1311c64a66
14983a870
15651659a
hex44de122

72212770 has 48 divisors (see below), whose sum is σ = 160117560. Its totient is φ = 23299584.

The previous prime is 72212761. The next prime is 72212771. The reversal of 72212770 is 7721227.

It can be written as a sum of positive squares in 4 ways, for example, as 64016001 + 8196769 = 8001^2 + 2863^2 .

It is not an unprimeable number, because it can be changed into a prime (72212771) 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 23 ways as a sum of consecutive naturals, for example, 3996 + ... + 12664.

Almost surely, 272212770 is an apocalyptic number.

72212770 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72212770 is an abundant number, since it is smaller than the sum of its proper divisors (87904790).

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

72212770 is a wasteful number, since it uses less digits than its factorization.

72212770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8707 (or 8700 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 28.

The square root of 72212770 is about 8497.8097178038. The cubic root of 72212770 is about 416.4261573772.

Adding to 72212770 its reverse (7721227), we get a palindrome (79933997).

The spelling of 72212770 in words is "seventy-two million, two hundred twelve thousand, seven hundred seventy".

Divisors: 1 2 5 7 10 14 17 34 35 49 70 85 98 119 170 238 245 490 595 833 1190 1666 4165 8330 8669 17338 43345 60683 86690 121366 147373 294746 303415 424781 606830 736865 849562 1031611 1473730 2063222 2123905 4247810 5158055 7221277 10316110 14442554 36106385 72212770