Search a number
-
+
72139236 = 223131632837
BaseRepresentation
bin1000100110011…
…00000111100100
312000202001102120
410103030013210
5121431423421
611054105540
71534113321
oct423140744
9160661376
1072139236
11377a2304
12201ab2b0
1311c3a450
14981bb48
1564ee8c6
hex44cc1e4

72139236 has 48 divisors (see below), whose sum is σ = 182449344. Its totient is φ = 22052736.

The previous prime is 72139229. The next prime is 72139259. The reversal of 72139236 is 63293127.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 72139197 and 72139206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24010 + ... + 26846.

It is an arithmetic number, because the mean of its divisors is an integer number (3801028).

Almost surely, 272139236 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 72139236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91224672).

72139236 is an abundant number, since it is smaller than the sum of its proper divisors (110310108).

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

72139236 is a wasteful number, since it uses less digits than its factorization.

72139236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020 (or 3018 counting only the distinct ones).

The product of its digits is 13608, while the sum is 33.

The square root of 72139236 is about 8493.4819714885. The cubic root of 72139236 is about 416.2847609600.

The spelling of 72139236 in words is "seventy-two million, one hundred thirty-nine thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 163 326 489 652 978 1956 2119 2837 4238 5674 6357 8476 8511 11348 12714 17022 25428 34044 36881 73762 110643 147524 221286 442572 462431 924862 1387293 1849724 2774586 5549172 6011603 12023206 18034809 24046412 36069618 72139236