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160072 = 231117107
BaseRepresentation
bin100111000101001000
322010120121
4213011020
520110242
63233024
71234453
oct470510
9263517
10160072
11aa2a0
1278774
1357b23
144249a
1532667
hex27148

160072 has 32 divisors (see below), whose sum is σ = 349920. Its totient is φ = 67840.

The previous prime is 160049. The next prime is 160073. The reversal of 160072 is 270061.

160072 is a modest number, since divided by 72 gives 16 as remainder.

It is not an unprimeable number, because it can be changed into a prime (160073) by changing a digit.

160072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1443 + ... + 1549.

It is an arithmetic number, because the mean of its divisors is an integer number (10935).

2160072 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 160072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174960).

160072 is an abundant number, since it is smaller than the sum of its proper divisors (189848).

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

160072 is a wasteful number, since it uses less digits than its factorization.

160072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 160072 is about 400.0899898773. The cubic root of 160072 is about 54.2964943636.

The spelling of 160072 in words is "one hundred sixty thousand, seventy-two".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 107 136 187 214 374 428 748 856 1177 1496 1819 2354 3638 4708 7276 9416 14552 20009 40018 80036 160072