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72122328 = 23321952721
BaseRepresentation
bin1000100110001…
…11111111011000
312000201012020100
410103013333120
5121430403303
611053455400
71534013115
oct423077730
9160635210
1072122328
1137790633
12201a1560
1311c32845
14981590c
1564e98a3
hex44c7fd8

72122328 has 48 divisors (see below), whose sum is σ = 205615800. Its totient is φ = 22775040.

The previous prime is 72122327. The next prime is 72122329. The reversal of 72122328 is 82322127.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72122327) and next prime (72122329).

It is a super-2 number, since 2×721223282 = 10403260392279168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72122327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24993 + ... + 27728.

Almost surely, 272122328 is an apocalyptic number.

It is an amenable number.

72122328 is an abundant number, since it is smaller than the sum of its proper divisors (133493472).

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

72122328 is a wasteful number, since it uses less digits than its factorization.

72122328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52752 (or 52745 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 72122328 is about 8492.4865616614. The cubic root of 72122328 is about 416.2522354667.

The spelling of 72122328 in words is "seventy-two million, one hundred twenty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 52721 105442 158163 210884 316326 421768 474489 632652 948978 1001699 1265304 1897956 2003398 3005097 3795912 4006796 6010194 8013592 9015291 12020388 18030582 24040776 36061164 72122328