1004182272 has 180 divisors, whose sum is σ = 3037138720. Its totient is φ = 329951232.

The previous prime is 1004182271. The next prime is 1004182273. The reversal of 1004182272 is 2722814001.

1004182272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1004182271) and next prime (1004182273).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1004182271) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1637838 + ... + 1638450.

Almost surely, 2^1004182272 is an apocalyptic number.

1004182272 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 1004182272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518569360).

1004182272 is an abundant number, since it is smaller than the sum of its proper divisors (2032956448).

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

1004182272 is an frugal number, since it uses more digits than its factorization.

1004182272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1004182272 is about 31688.8351316359. The cubic root of 1004182272 is about 1001.3921516810.

Adding to 1004182272 its reverse (2722814001), we get a palindrome (3726996273).

The spelling of 1004182272 in words is "one billion, four million, one hundred eighty-two thousand, two hundred seventy-two".