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19072 = 27149
BaseRepresentation
bin100101010000000
3222011101
410222000
51102242
6224144
7106414
oct45200
928141
1019072
1113369
12b054
1388b1
146d44
1559b7
hex4a80

19072 has 16 divisors (see below), whose sum is σ = 38250. Its totient is φ = 9472.

The previous prime is 19069. The next prime is 19073. The reversal of 19072 is 27091.

It can be written as a sum of positive squares in only one way, i.e., 18496 + 576 = 136^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is an Ulam number.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (19073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 54 + ... + 202.

219072 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 19072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19125).

19072 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

19072 is an equidigital number, since it uses as much as digits as its factorization.

19072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 19072 is about 138.1014120131. The cubic root of 19072 is about 26.7176801266.

Adding to 19072 its sum of digits (19), we get a palindrome (19091).

It can be divided in two parts, 190 and 72, that added together give a palindrome (262).

The spelling of 19072 in words is "nineteen thousand, seventy-two".

Divisors: 1 2 4 8 16 32 64 128 149 298 596 1192 2384 4768 9536 19072