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71350272 = 211327279
BaseRepresentation
bin1000100000010…
…11100000000000
311222020222011200
410100023200000
5121231202042
611025141200
71524316200
oct420134000
9158228150
1071350272
1137303574
121ba8a800
1311a222c6
149694400
1563e5c4c
hex440b800

71350272 has 216 divisors, whose sum is σ = 242751600. Its totient is φ = 20127744.

The previous prime is 71350271. The next prime is 71350303. The reversal of 71350272 is 27205317.

It is a super-2 number, since 2×713502722 = 10181722628947968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71350271) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 903129 + ... + 903207.

It is an arithmetic number, because the mean of its divisors is an integer number (1123850).

Almost surely, 271350272 is an apocalyptic number.

71350272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71350272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121375800).

71350272 is an abundant number, since it is smaller than the sum of its proper divisors (171401328).

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

71350272 is a wasteful number, since it uses less digits than its factorization.

71350272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 71350272 is about 8446.9090204642. The cubic root of 71350272 is about 414.7616030509.

Adding to 71350272 its reverse (27205317), we get a palindrome (98555589).

The spelling of 71350272 in words is "seventy-one million, three hundred fifty thousand, two hundred seventy-two".