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71999712 = 2533167499
BaseRepresentation
bin1000100101010…
…10000011100000
312000110222001000
410102222003200
5121412442322
611051112000
71532662461
oct422520340
9160428030
1071999712
11377074a4
1220142600
1311bbbaa5
1497c2d68
1564c33ac
hex44aa0e0

71999712 has 96 divisors (see below), whose sum is σ = 211680000. Its totient is φ = 23808384.

The previous prime is 71999671. The next prime is 71999771. The reversal of 71999712 is 21799917.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144039 + ... + 144537.

It is an arithmetic number, because the mean of its divisors is an integer number (2205000).

Almost surely, 271999712 is an apocalyptic number.

71999712 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71999712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105840000).

71999712 is an abundant number, since it is smaller than the sum of its proper divisors (139680288).

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

71999712 is a wasteful number, since it uses less digits than its factorization.

71999712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 671 counting only the distinct ones).

The product of its digits is 71442, while the sum is 45.

The square root of 71999712 is about 8485.2644036589. The cubic root of 71999712 is about 416.0162099206.

The spelling of 71999712 in words is "seventy-one million, nine hundred ninety-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 167 216 288 334 432 499 501 668 864 998 1002 1336 1497 1503 1996 2004 2672 2994 3006 3992 4008 4491 4509 5344 5988 6012 7984 8016 8982 9018 11976 12024 13473 15968 16032 17964 18036 23952 24048 26946 35928 36072 47904 48096 53892 71856 72144 83333 107784 143712 144288 166666 215568 249999 333332 431136 499998 666664 749997 999996 1333328 1499994 1999992 2249991 2666656 2999988 3999984 4499982 5999976 7999968 8999964 11999952 17999928 23999904 35999856 71999712