Search a number
-
+
71062272 = 283423149
BaseRepresentation
bin1000011110001…
…01001100000000
311221201100010000
410033011030000
5121142443042
611015040000
71522006431
oct417051400
9157640100
1071062272
1137127156
121b970000
13119511a8
14961b488
15638a74c
hex43c5300

71062272 has 180 divisors, whose sum is σ = 222591600. Its totient is φ = 22505472.

The previous prime is 71062259. The next prime is 71062279. The reversal of 71062272 is 27226017.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (71062279) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 476854 + ... + 477002.

It is an arithmetic number, because the mean of its divisors is an integer number (1236620).

Almost surely, 271062272 is an apocalyptic number.

71062272 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 71062272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111295800).

71062272 is an abundant number, since it is smaller than the sum of its proper divisors (151529328).

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

71062272 is a wasteful number, since it uses less digits than its factorization.

71062272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 71062272 is about 8429.8441266728. The cubic root of 71062272 is about 414.2027991927.

Adding to 71062272 its reverse (27226017), we get a palindrome (98288289).

The spelling of 71062272 in words is "seventy-one million, sixty-two thousand, two hundred seventy-two".