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BaseRepresentation
bin10011101011000
3111211001
42131120
5310242
6114344
741236
oct23530
914731
1010072
117627
1259b4
13477a
143956
152eb7
hex2758

10072 has 8 divisors (see below), whose sum is σ = 18900. Its totient is φ = 5032.

The previous prime is 10069. The next prime is 10079. The reversal of 10072 is 27001.

10072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10079) by changing a digit.

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 as a sum of consecutive naturals, namely, 622 + ... + 637.

210072 is an apocalyptic number.

It is an amenable number.

10072 is a deficient number, since it is larger than the sum of its proper divisors (8828).

10072 is a wasteful number, since it uses less digits than its factorization.

10072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 10.

The square root of 10072 is about 100.3593543224. The cubic root of 10072 is about 21.5959297315.

Adding to 10072 its reverse (27001), we get a palindrome (37073).

The spelling of 10072 in words is "ten thousand, seventy-two", and thus it is an iban number.

Divisors: 1 2 4 8 1259 2518 5036 10072