10006272 has 108 divisors (see below), whose sum is σ = 29813784. Its totient is φ = 3225600.

The previous prime is 10006267. The next prime is 10006277. The reversal of 10006272 is 27260001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10006267) and next prime (10006277).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006277) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99022 + ... + 99122.

Almost surely, 2^10006272 is an apocalyptic number.

10006272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10006272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14906892).

10006272 is an abundant number, since it is smaller than the sum of its proper divisors (19807512).

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

10006272 is a wasteful number, since it uses less digits than its factorization.

10006272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10006272 is about 3163.2691949943. The cubic root of 10006272 is about 215.4885016376.

Adding to 10006272 its reverse (27260001), we get a palindrome (37266273).

The spelling of 10006272 in words is "ten million, six thousand, two hundred seventy-two".