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79872 = 211313
BaseRepresentation
bin10011100000000000
311001120020
4103200000
510023442
61413440
7451602
oct234000
9131506
1079872
1155011
123a280
132a480
1421172
15189ec
hex13800

79872 has 48 divisors (see below), whose sum is σ = 229320. Its totient is φ = 24576.

The previous prime is 79867. The next prime is 79873. The reversal of 79872 is 27897.

It is a tau number, because it is divible by the number of its divisors (48).

Its product of digits (7056) is a multiple of the sum of its prime divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79873) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6138 + ... + 6150.

279872 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 79872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114660).

79872 is an abundant number, since it is smaller than the sum of its proper divisors (149448).

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

79872 is a wasteful number, since it uses less digits than its factorization.

79872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 18 counting only the distinct ones).

The product of its digits is 7056, while the sum is 33.

The square root of 79872 is about 282.6163477225. The cubic root of 79872 is about 43.0657008967.

The spelling of 79872 in words is "seventy-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2048 2496 3072 3328 4992 6144 6656 9984 13312 19968 26624 39936 79872