Search a number
-
+
72090112 = 291031367
BaseRepresentation
bin1000100110000…
…00001000000000
312000122120001011
410103000020000
5121423340422
611053050304
71533520153
oct423001000
9160576034
1072090112
1137769406
1220186994
1311c20c93
149807c9a
1564e0077
hex44c0200

72090112 has 40 divisors (see below), whose sum is σ = 145544256. Its totient is φ = 35668992.

The previous prime is 72090103. The next prime is 72090121. The reversal of 72090112 is 21109027.

It is an interprime number because it is at equal distance from previous prime (72090103) and next prime (72090121).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52053 + ... + 53419.

Almost surely, 272090112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72090112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72772128).

72090112 is an abundant number, since it is smaller than the sum of its proper divisors (73454144).

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

72090112 is a wasteful number, since it uses less digits than its factorization.

72090112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 72090112 is about 8490.5896143907. The cubic root of 72090112 is about 416.1902482867.

Adding to 72090112 its reverse (21109027), we get a palindrome (93199139).

The spelling of 72090112 in words is "seventy-two million, ninety thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 103 128 206 256 412 512 824 1367 1648 2734 3296 5468 6592 10936 13184 21872 26368 43744 52736 87488 140801 174976 281602 349952 563204 699904 1126408 2252816 4505632 9011264 18022528 36045056 72090112