1005075472 has 40 divisors (see below), whose sum is σ = 1965499200. Its totient is φ = 497872512.

The previous prime is 1005075457. The next prime is 1005075481. The reversal of 1005075472 is 2745705001.

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, 1359679 + ... + 1360417.

It is an arithmetic number, because the mean of its divisors is an integer number (49137480).

Almost surely, 2^1005075472 is an apocalyptic number.

It is an amenable number.

1005075472 is a deficient number, since it is larger than the sum of its proper divisors (960423728).

1005075472 is a wasteful number, since it uses less digits than its factorization.

1005075472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 31.

The square root of 1005075472 is about 31702.9252908939. The cubic root of 1005075472 is about 1001.6889697751.

The spelling of 1005075472 in words is "one billion, five million, seventy-five thousand, four hundred seventy-two".