1004727072 has 48 divisors (see below), whose sum is σ = 2648413152. Its totient is φ = 333511680.

The previous prime is 1004727029. The next prime is 1004727079. The reversal of 1004727072 is 2707274001.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (1004727079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1423 + ... + 44849.

It is an arithmetic number, because the mean of its divisors is an integer number (55175274).

Almost surely, 2^1004727072 is an apocalyptic number.

1004727072 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 1004727072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324206576).

1004727072 is an abundant number, since it is smaller than the sum of its proper divisors (1643686080).

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

1004727072 is a wasteful number, since it uses less digits than its factorization.

1004727072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43681 (or 43673 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 30.

The square root of 1004727072 is about 31697.4300535548. The cubic root of 1004727072 is about 1001.5732143653.

The spelling of 1004727072 in words is "one billion, four million, seven hundred twenty-seven thousand, seventy-two".