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71720064 = 2732134789
BaseRepresentation
bin1000100011001…
…01110010000000
311222221202102200
410101211302000
5121330020224
611041113200
71530416253
oct421456200
9158852380
1071720064
1137536389
1220028800
1311b21710
14974d09a
15646a5c9
hex4465c80

71720064 has 96 divisors (see below), whose sum is σ = 222303900. Its totient is φ = 22063104.

The previous prime is 71720057. The next prime is 71720101. The reversal of 71720064 is 46002717.

It can be written as a sum of positive squares in 2 ways, for example, as 57881664 + 13838400 = 7608^2 + 3720^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12582 + ... + 17370.

Almost surely, 271720064 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 71720064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111151950).

71720064 is an abundant number, since it is smaller than the sum of its proper divisors (150583836).

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

71720064 is a wasteful number, since it uses less digits than its factorization.

71720064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4822 (or 4807 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 71720064 is about 8468.7699224858. The cubic root of 71720064 is about 415.4769066218.

The spelling of 71720064 in words is "seventy-one million, seven hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4789 4992 7488 9578 14367 14976 19156 28734 38312 43101 57468 62257 76624 86202 114936 124514 153248 172404 186771 229872 249028 306496 344808 373542 459744 498056 560313 612992 689616 747084 919488 996112 1120626 1379232 1494168 1838976 1992224 2241252 2758464 2988336 3984448 4482504 5516928 5976672 7968896 8965008 11953344 17930016 23906688 35860032 71720064