1004738272 has 48 divisors (see below), whose sum is σ = 2057069952. Its totient is φ = 482549760.

The previous prime is 1004738213. The next prime is 1004738281. The reversal of 1004738272 is 2728374001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132208 + ... + 139600.

It is an arithmetic number, because the mean of its divisors is an integer number (42855624).

Almost surely, 2^1004738272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004738272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028534976).

1004738272 is an abundant number, since it is smaller than the sum of its proper divisors (1052331680).

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

1004738272 is a wasteful number, since it uses less digits than its factorization.

1004738272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7571 (or 7563 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 1004738272 is about 31697.6067235367. The cubic root of 1004738272 is about 1001.5769359658.

The spelling of 1004738272 in words is "one billion, four million, seven hundred thirty-eight thousand, two hundred seventy-two".