1005272040 has 128 divisors (see below), whose sum is σ = 3157781760. Its totient is φ = 255535104.

The previous prime is 1005272039. The next prime is 1005272053. The reversal of 1005272040 is 402725001.

It is a junction number, because it is equal to n+sod(n) for n = 1005271998 and 1005272016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1260922 + ... + 1261718.

It is an arithmetic number, because the mean of its divisors is an integer number (24670170).

Almost surely, 2^1005272040 is an apocalyptic number.

1005272040 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 1005272040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578890880).

1005272040 is an abundant number, since it is smaller than the sum of its proper divisors (2152509720).

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

1005272040 is a wasteful number, since it uses less digits than its factorization.

1005272040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 1005272040 is about 31706.0252948868. The cubic root of 1005272040 is about 1001.7542674130.

Adding to 1005272040 its reverse (402725001), we get a palindrome (1407997041).

The spelling of 1005272040 in words is "one billion, five million, two hundred seventy-two thousand, forty".