1005326772 has 24 divisors (see below), whose sum is σ = 2378803392. Its totient is φ = 330388800.

The previous prime is 1005326767. The next prime is 1005326779. The reversal of 1005326772 is 2776235001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005326779) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 589129 + ... + 590832.

It is an arithmetic number, because the mean of its divisors is an integer number (99116808).

Almost surely, 2^1005326772 is an apocalyptic number.

1005326772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005326772 is an abundant number, since it is smaller than the sum of its proper divisors (1373476620).

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

1005326772 is a wasteful number, since it uses less digits than its factorization.

1005326772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180039 (or 1180037 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 1005326772 is about 31706.8883998414. Note that the first 3 decimals coincide. The cubic root of 1005326772 is about 1001.7724472414.

The spelling of 1005326772 in words is "one billion, five million, three hundred twenty-six thousand, seven hundred seventy-two".