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72013210 = 2524129881
BaseRepresentation
bin1000100101011…
…01010110011010
312000111122112221
410102231112122
5121413410320
611051254254
71533050023
oct422552632
9160448487
1072013210
1137716655
122014a38a
1311bc4c89
1497c7c4a
1564c73aa
hex44ad59a

72013210 has 16 divisors (see below), whose sum is σ = 130165992. Its totient is φ = 28684800.

The previous prime is 72013187. The next prime is 72013213. The reversal of 72013210 is 1231027.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 51969681 + 20043529 = 7209^2 + 4477^2 .

It is not an unprimeable number, because it can be changed into a prime (72013213) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12531 + ... + 17350.

Almost surely, 272013210 is an apocalyptic number.

72013210 is a deficient number, since it is larger than the sum of its proper divisors (58152782).

72013210 is a wasteful number, since it uses less digits than its factorization.

72013210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30129.

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 72013210 is about 8486.0597452528. The cubic root of 72013210 is about 416.0422055613.

Adding to 72013210 its reverse (1231027), we get a palindrome (73244237).

The spelling of 72013210 in words is "seventy-two million, thirteen thousand, two hundred ten".

Divisors: 1 2 5 10 241 482 1205 2410 29881 59762 149405 298810 7201321 14402642 36006605 72013210