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72789030 = 2345731231
BaseRepresentation
bin1000101011010…
…10110000100110
312001222001210000
410111222300212
5122113222110
611120042130
71542460626
oct425526046
9161861700
1072789030
11380a6526
1220463346
1312107142
14994a886
1565cc1c0
hex456ac26

72789030 has 80 divisors (see below), whose sum is σ = 198563904. Its totient is φ = 19128960.

The previous prime is 72789011. The next prime is 72789037. The reversal of 72789030 is 3098727.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72789037) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58515 + ... + 59745.

Almost surely, 272789030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72789030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99281952).

72789030 is an abundant number, since it is smaller than the sum of its proper divisors (125774874).

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

72789030 is a wasteful number, since it uses less digits than its factorization.

72789030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 72789030 is about 8531.6487269460. The cubic root of 72789030 is about 417.5309214910.

The spelling of 72789030 in words is "seventy-two million, seven hundred eighty-nine thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 73 81 90 135 146 162 219 270 365 405 438 657 730 810 1095 1231 1314 1971 2190 2462 3285 3693 3942 5913 6155 6570 7386 9855 11079 11826 12310 18465 19710 22158 29565 33237 36930 55395 59130 66474 89863 99711 110790 166185 179726 199422 269589 332370 449315 498555 539178 808767 898630 997110 1347945 1617534 2426301 2695890 4043835 4852602 7278903 8087670 12131505 14557806 24263010 36394515 72789030