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72936342 = 23343101311
BaseRepresentation
bin1000101100011…
…10101110010110
312002020112212000
410112032232112
5122132430332
611123140130
71543643253
oct426165626
9162215760
1072936342
1138197176
1220514646
13121591cb
14998842a
15660ab7c
hex458eb96

72936342 has 64 divisors (see below), whose sum is σ = 168030720. Its totient is φ = 23436000.

The previous prime is 72936329. The next prime is 72936349. The reversal of 72936342 is 24363927.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 72936297 and 72936306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72936349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234367 + ... + 234677.

It is an arithmetic number, because the mean of its divisors is an integer number (2625480).

Almost surely, 272936342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72936342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84015360).

72936342 is an abundant number, since it is smaller than the sum of its proper divisors (95094378).

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

72936342 is a wasteful number, since it uses less digits than its factorization.

72936342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 460 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 72936342 is about 8540.2776301476. The cubic root of 72936342 is about 417.8124010327.

The spelling of 72936342 in words is "seventy-two million, nine hundred thirty-six thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 43 54 86 101 129 202 258 303 311 387 606 622 774 909 933 1161 1818 1866 2322 2727 2799 4343 5454 5598 8397 8686 13029 13373 16794 26058 26746 31411 39087 40119 62822 78174 80238 94233 117261 120357 188466 234522 240714 282699 361071 565398 722142 848097 1350673 1696194 2701346 4052019 8104038 12156057 24312114 36468171 72936342