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16072 = 237241
BaseRepresentation
bin11111011001000
3211001021
43323020
51003242
6202224
764600
oct37310
924037
1016072
1111091
129374
137414
145c00
154b67
hex3ec8

16072 has 24 divisors (see below), whose sum is σ = 35910. Its totient is φ = 6720.

The previous prime is 16069. The next prime is 16073. The reversal of 16072 is 27061.

It can be written as a sum of positive squares in only one way, i.e., 15876 + 196 = 126^2 + 14^2 .

16072 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 (16073) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 372 + ... + 412.

216072 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 16072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17955).

16072 is an abundant number, since it is smaller than the sum of its proper divisors (19838).

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

16072 is a wasteful number, since it uses less digits than its factorization.

16072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 50 counting only the distinct ones).

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

The square root of 16072 is about 126.7753919339. The cubic root of 16072 is about 25.2361620743.

It can be divided in two parts, 160 and 72, that added together give a palindrome (232).

The spelling of 16072 in words is "sixteen thousand, seventy-two".

Divisors: 1 2 4 7 8 14 28 41 49 56 82 98 164 196 287 328 392 574 1148 2009 2296 4018 8036 16072