1006752972 has 24 divisors (see below), whose sum is σ = 2399072256. Its totient is φ = 328444048.

The previous prime is 1006752911. The next prime is 1006753021. The reversal of 1006752972 is 2792576001.

It is a self number, because there is not a number n which added to its sum of digits gives 1006752972.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 891948 + ... + 893075.

It is an arithmetic number, because the mean of its divisors is an integer number (99961344).

Almost surely, 2^1006752972 is an apocalyptic number.

1006752972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1006752972 is an abundant number, since it is smaller than the sum of its proper divisors (1392319284).

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

1006752972 is a wasteful number, since it uses less digits than its factorization.

1006752972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785077 (or 1785075 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 1006752972 is about 31729.3708100240. The cubic root of 1006752972 is about 1002.2459426320.

The spelling of 1006752972 in words is "one billion, six million, seven hundred fifty-two thousand, nine hundred seventy-two".