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72192 = 29347
BaseRepresentation
bin10001101000000000
310200000210
4101220000
54302232
61314120
7420321
oct215000
9120023
1072192
114a26a
1235940
1326b23
141c448
15165cc
hex11a00

72192 has 40 divisors (see below), whose sum is σ = 196416. Its totient is φ = 23552.

The previous prime is 72173. The next prime is 72211. The reversal of 72192 is 29127.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72173) and next prime (72211).

It is an unprimeable number.

72192 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1513 + ... + 1559.

272192 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 72192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98208).

72192 is an abundant number, since it is smaller than the sum of its proper divisors (124224).

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

72192 is an equidigital number, since it uses as much as digits as its factorization.

72192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 52 counting only the distinct ones).

The product of its digits is 252, while the sum is 21.

The square root of 72192 is about 268.6856899799. The cubic root of 72192 is about 41.6386229072.

It can be divided in two parts, 72 and 192, that multiplied together give a cube (13824 = 243).

The spelling of 72192 in words is "seventy-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 512 564 752 768 1128 1504 1536 2256 3008 4512 6016 9024 12032 18048 24064 36096 72192