1005723432 has 192 divisors, whose sum is σ = 3274992000. Its totient is φ = 285126912.

The previous prime is 1005723413. The next prime is 1005723457. The reversal of 1005723432 is 2343275001.

It is a super-2 number, since 2×1005723432² = 2022959243347717248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1005723396 and 1005723405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1767244 + ... + 1767812.

It is an arithmetic number, because the mean of its divisors is an integer number (17057250).

Almost surely, 2^1005723432 is an apocalyptic number.

1005723432 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 1005723432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637496000).

1005723432 is an abundant number, since it is smaller than the sum of its proper divisors (2269268568).

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

1005723432 is a wasteful number, since it uses less digits than its factorization.

1005723432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 1005723432 is about 31713.1428906061. The cubic root of 1005723432 is about 1001.9041824544.

Adding to 1005723432 its reverse (2343275001), we get a palindrome (3348998433).

It can be divided in two parts, 1005723 and 432, that multiplied together give a square (434472336 = 20844²).

The spelling of 1005723432 in words is "one billion, five million, seven hundred twenty-three thousand, four hundred thirty-two".