1005723672 has 128 divisors (see below), whose sum is σ = 2743372800. Its totient is φ = 306034688.

The previous prime is 1005723659. The next prime is 1005723743. The reversal of 1005723672 is 2763275001.

It is a super-2 number, since 2×1005723672² = 2022960208842327168, which contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3432358 + ... + 3432650.

It is an arithmetic number, because the mean of its divisors is an integer number (21432600).

Almost surely, 2^1005723672 is an apocalyptic number.

1005723672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005723672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371686400).

1005723672 is an abundant number, since it is smaller than the sum of its proper divisors (1737649128).

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

1005723672 is a wasteful number, since it uses less digits than its factorization.

1005723672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 541 counting only the distinct ones).

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

The square root of 1005723672 is about 31713.1466745260. The cubic root of 1005723672 is about 1001.9042621506.

Adding to 1005723672 its reverse (2763275001), we get a palindrome (3768998673).

The spelling of 1005723672 in words is "one billion, five million, seven hundred twenty-three thousand, six hundred seventy-two".