1005072772 has 12 divisors (see below), whose sum is σ = 1918775376. Its totient is φ = 456851240.

The previous prime is 1005072763. The next prime is 1005072779. The reversal of 1005072772 is 2772705001.

It is not an unprimeable number, because it can be changed into a prime (1005072779) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11421238 + ... + 11421325.

It is an arithmetic number, because the mean of its divisors is an integer number (159897948).

Almost surely, 2^1005072772 is an apocalyptic number.

It is an amenable number.

1005072772 is a deficient number, since it is larger than the sum of its proper divisors (913702604).

1005072772 is a wasteful number, since it uses less digits than its factorization.

1005072772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22842578 (or 22842576 counting only the distinct ones).

The product of its (nonzero) digits is 6860, while the sum is 31.

The square root of 1005072772 is about 31702.8827080441. The cubic root of 1005072772 is about 1001.6880728068.

Adding to 1005072772 its reverse (2772705001), we get a palindrome (3777777773).

The spelling of 1005072772 in words is "one billion, five million, seventy-two thousand, seven hundred seventy-two".