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72236970 = 232513292129
BaseRepresentation
bin1000100111000…
…11111110101010
312000221000111100
410103203332222
5121443040340
611100142230
71535001261
oct423437652
9160830440
1072236970
1137859783
1220237976
1311c72a90
1498455d8
15651d830
hex44e3faa

72236970 has 96 divisors (see below), whose sum is σ = 209336400. Its totient is φ = 17160192.

The previous prime is 72236959. The next prime is 72236971. The reversal of 72236970 is 7963227.

It can be written as a sum of positive squares in 8 ways, for example, as 11068929 + 61168041 = 3327^2 + 7821^2 .

It is not an unprimeable number, because it can be changed into a prime (72236971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32866 + ... + 34994.

Almost surely, 272236970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72236970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104668200).

72236970 is an abundant number, since it is smaller than the sum of its proper divisors (137099430).

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

72236970 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 12 representation: 72236970 = (20237976)12.

72236970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 72236970 is about 8499.2334948512. The cubic root of 72236970 is about 416.4726698684.

The spelling of 72236970 in words is "seventy-two million, two hundred thirty-six thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 29 30 39 45 58 65 78 87 90 117 130 145 174 195 234 261 290 377 390 435 522 585 754 870 1131 1170 1305 1885 2129 2262 2610 3393 3770 4258 5655 6387 6786 10645 11310 12774 16965 19161 21290 27677 31935 33930 38322 55354 61741 63870 83031 95805 123482 138385 166062 185223 191610 249093 276770 308705 370446 415155 498186 555669 617410 802633 830310 926115 1111338 1245465 1605266 1852230 2407899 2490930 2778345 4013165 4815798 5556690 7223697 8026330 12039495 14447394 24078990 36118485 72236970