1582327872 has 210 divisors, whose sum is σ = 4911815678. Its totient is φ = 503635968.

The previous prime is 1582327867. The next prime is 1582327919. The reversal of 1582327872 is 2787232851.

It can be written as a sum of positive squares in only one way, i.e., 1579585536 + 2742336 = 39744^2 + 1656^2 .

It is a super-2 number, since 2×1582327872² = 5007522989016096768, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2742048 + ... + 2742624.

Almost surely, 2^1582327872 is an apocalyptic number.

1582327872 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 1582327872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455907839).

1582327872 is an abundant number, since it is smaller than the sum of its proper divisors (3329487806).

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

1582327872 is an equidigital number, since it uses as much as digits as its factorization.

1582327872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 605 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 1582327872 is about 39778.4850390258. The cubic root of 1582327872 is about 1165.2850087686.

The spelling of 1582327872 in words is "one billion, five hundred eighty-two million, three hundred twenty-seven thousand, eight hundred seventy-two".