1007333772 has 12 divisors (see below), whose sum is σ = 2350445496. Its totient is φ = 335777920.

The previous prime is 1007333749. The next prime is 1007333791. The reversal of 1007333772 is 2773337001.

It is a tau number, because it is divible by the number of its divisors (12).

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 3 ways as a sum of consecutive naturals, for example, 41972229 + ... + 41972252.

It is an arithmetic number, because the mean of its divisors is an integer number (195870458).

Almost surely, 2^1007333772 is an apocalyptic number.

1007333772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1007333772 is an abundant number, since it is smaller than the sum of its proper divisors (1343111724).

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

1007333772 is a wasteful number, since it uses less digits than its factorization.

1007333772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83944488 (or 83944486 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 33.

The square root of 1007333772 is about 31738.5218937492. The cubic root of 1007333772 is about 1002.4386388730.

The spelling of 1007333772 in words is "one billion, seven million, three hundred thirty-three thousand, seven hundred seventy-two".