Search a number
-
+
72947136 = 2631722349
BaseRepresentation
bin1000101100100…
…01010111000000
312002021002122210
410112101113000
5122133302021
611123302120
71544016603
oct426212700
9162232583
1072947136
11381a4299
122051a940
13121610b2
14998c33a
15660de76
hex45915c0

72947136 has 56 divisors (see below), whose sum is σ = 204368400. Its totient is φ = 22884352.

The previous prime is 72947129. The next prime is 72947141. The reversal of 72947136 is 63174927.

It is a junction number, because it is equal to n+sod(n) for n = 72947094 and 72947103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7911 + ... + 14438.

Almost surely, 272947136 is an apocalyptic number.

It is an amenable number.

72947136 is an abundant number, since it is smaller than the sum of its proper divisors (131421264).

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

72947136 is a wasteful number, since it uses less digits than its factorization.

72947136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22381 (or 22371 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 72947136 is about 8540.9095534375. The cubic root of 72947136 is about 417.8330109896.

The spelling of 72947136 in words is "seventy-two million, nine hundred forty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 22349 44698 67047 89396 134094 178792 268188 357584 379933 536376 715168 759866 1072752 1139799 1430336 1519732 2145504 2279598 3039464 4291008 4559196 6078928 9118392 12157856 18236784 24315712 36473568 72947136