1006272 has 42 divisors (see below), whose sum is σ = 2885948. Its totient is φ = 335232.

The previous prime is 1006267. The next prime is 1006279. The reversal of 1006272 is 2726001.

It is a happy number.

1006272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (1006279) 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, 298 + ... + 1449.

2^1006272 is an apocalyptic number.

1006272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1006272 is an abundant number, since it is smaller than the sum of its proper divisors (1879676).

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

1006272 is a wasteful number, since it uses less digits than its factorization.

1006272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1752 counting only the distinct ones).

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

The square root of 1006272 is about 1003.1310981123. The cubic root of 1006272 is about 100.2086310946.

The spelling of 1006272 in words is "one million, six thousand, two hundred seventy-two".