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72383232 = 2833072
BaseRepresentation
bin1000101000001…
…11101100000000
312001012110010110
410110013230000
5122012230412
611103231320
71536150555
oct424075400
9161173113
1072383232
1137949659
12202a8540
1311cc451c
149882a2c
15654bd3c
hex4507b00

72383232 has 54 divisors (see below), whose sum is σ = 193274508. Its totient is φ = 24049152.

The previous prime is 72383203. The next prime is 72383239. The reversal of 72383232 is 23238327.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72383232.

It is not an unprimeable number, because it can be changed into a prime (72383239) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 235623 + ... + 235929.

Almost surely, 272383232 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 72383232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96637254).

72383232 is an abundant number, since it is smaller than the sum of its proper divisors (120891276).

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

72383232 is an frugal number, since it uses more digits than its factorization.

72383232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 312 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 72383232 is about 8507.8335667783. The cubic root of 72383232 is about 416.7535650933.

The spelling of 72383232 in words is "seventy-two million, three hundred eighty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 307 384 614 768 921 1228 1842 2456 3684 4912 7368 9824 14736 19648 29472 39296 58944 78592 94249 117888 188498 235776 282747 376996 565494 753992 1130988 1507984 2261976 3015968 4523952 6031936 9047904 12063872 18095808 24127744 36191616 72383232