1006272000 has 240 divisors, whose sum is σ = 3626477712. Its totient is φ = 268185600.

The previous prime is 1006271999. The next prime is 1006272019. The reversal of 1006272000 is 2726001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575127 + ... + 576873.

Almost surely, 2^1006272000 is an apocalyptic number.

1006272000 is a gapful number since it is divisible by the number (10) 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 1006272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813238856).

1006272000 is an abundant number, since it is smaller than the sum of its proper divisors (2620205712).

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

1006272000 is an equidigital number, since it uses as much as digits as its factorization.

1006272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1757 counting only the distinct ones).

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

The square root of 1006272000 is about 31721.7906178072. The cubic root of 1006272000 is about 1002.0863109463.

Adding to 1006272000 its reverse (2726001), we get a palindrome (1008998001).

The spelling of 1006272000 in words is "one billion, six million, two hundred seventy-two thousand".