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72211968 = 293215671
BaseRepresentation
bin1000100110111…
…01111000000000
312000212202012100
410103131320000
5121441240333
611055430400
71534535343
oct423357000
9160782170
1072211968
1137841a14
1220225400
1311c6459a
14983a45a
156516213
hex44dde00

72211968 has 60 divisors (see below), whose sum is σ = 208421928. Its totient is φ = 24069120.

The previous prime is 72211967. The next prime is 72211987. The reversal of 72211968 is 86911227.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72211963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3228 + ... + 12443.

Almost surely, 272211968 is an apocalyptic number.

It is an amenable number.

72211968 is an abundant number, since it is smaller than the sum of its proper divisors (136209960).

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

72211968 is a wasteful number, since it uses less digits than its factorization.

72211968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15695 (or 15676 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 72211968 is about 8497.7625290426. The cubic root of 72211968 is about 416.4246157523.

The spelling of 72211968 in words is "seventy-two million, two hundred eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 15671 31342 47013 62684 94026 125368 141039 188052 250736 282078 376104 501472 564156 752208 1002944 1128312 1504416 2005888 2256624 3008832 4011776 4513248 6017664 8023552 9026496 12035328 18052992 24070656 36105984 72211968