Search a number
-
+
72230756 = 221317101809
BaseRepresentation
bin1000100111000…
…10011101100100
312000220200222012
410103202131210
5121442341011
611100053352
71534644203
oct423423544
9160820865
1072230756
1137855044
1220234258
1311c6ccc0
14984323a
15651ba8b
hex44e2764

72230756 has 48 divisors (see below), whose sum is σ = 145741680. Its totient is φ = 31027200.

The previous prime is 72230747. The next prime is 72230779. The reversal of 72230756 is 65703227.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 14318656 + 57912100 = 3784^2 + 7610^2 .

It is a super-2 number, since 2×722307562 = 10434564224663072, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88880 + ... + 89688.

It is an arithmetic number, because the mean of its divisors is an integer number (3036285).

Almost surely, 272230756 is an apocalyptic number.

It is an amenable number.

72230756 is an abundant number, since it is smaller than the sum of its proper divisors (73510924).

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

72230756 is a wasteful number, since it uses less digits than its factorization.

72230756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 72230756 is about 8498.8679246121. The cubic root of 72230756 is about 416.4607275283.

The spelling of 72230756 in words is "seventy-two million, two hundred thirty thousand, seven hundred fifty-six".

Divisors: 1 2 4 13 17 26 34 52 68 101 202 221 404 442 809 884 1313 1618 1717 2626 3236 3434 5252 6868 10517 13753 21034 22321 27506 42068 44642 55012 81709 89284 163418 178789 326836 357578 715156 1062217 1389053 2124434 2778106 4248868 5556212 18057689 36115378 72230756