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72255232 = 28761661
BaseRepresentation
bin1000100111010…
…00011100000000
312000221221112201
410103220130000
5121444131412
611100402544
71535105440
oct423503400
9160857481
1072255232
1137871475
1220246454
1311c7b19a
14984c120
156523e57
hex44e8700

72255232 has 72 divisors (see below), whose sum is σ = 167787872. Its totient is φ = 30412800.

The previous prime is 72255229. The next prime is 72255241. The reversal of 72255232 is 23255227.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 72255232.

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, 108982 + ... + 109642.

Almost surely, 272255232 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 72255232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83893936).

72255232 is an abundant number, since it is smaller than the sum of its proper divisors (95532640).

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

72255232 is an equidigital number, since it uses as much as digits as its factorization.

72255232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 731 counting only the distinct ones).

The product of its digits is 8400, while the sum is 28.

The square root of 72255232 is about 8500.3077591344. The cubic root of 72255232 is about 416.5077626243.

The spelling of 72255232 in words is "seventy-two million, two hundred fifty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 128 224 244 256 427 448 488 661 854 896 976 1322 1708 1792 1952 2644 3416 3904 4627 5288 6832 7808 9254 10576 13664 15616 18508 21152 27328 37016 40321 42304 54656 74032 80642 84608 109312 148064 161284 169216 282247 296128 322568 564494 592256 645136 1128988 1184512 1290272 2257976 2580544 4515952 5161088 9031904 10322176 18063808 36127616 72255232