1582048272 has 80 divisors (see below), whose sum is σ = 4719059072. Its totient is φ = 447344640.

The previous prime is 1582048267. The next prime is 1582048283. The reversal of 1582048272 is 2728402851.

It is a self number, because there is not a number n which added to its sum of digits gives 1582048272.

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 15 ways as a sum of consecutive naturals, for example, 8322 + ... + 56862.

Almost surely, 2^1582048272 is an apocalyptic number.

1582048272 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 1582048272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359529536).

1582048272 is an abundant number, since it is smaller than the sum of its proper divisors (3137010800).

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

1582048272 is a wasteful number, since it uses less digits than its factorization.

1582048272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48656 (or 48650 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 1582048272 is about 39774.9704211078. The cubic root of 1582048272 is about 1165.2163687843.

The spelling of 1582048272 in words is "one billion, five hundred eighty-two million, forty-eight thousand, two hundred seventy-two".