15728672 has 48 divisors (see below), whose sum is σ = 33951960. Its totient is φ = 7139328.

The previous prime is 15728611. The next prime is 15728681. The reversal of 15728672 is 27682751.

It can be written as a sum of positive squares in 4 ways, for example, as 15713296 + 15376 = 3964^2 + 124^2 .

It is a super-2 number, since 2×15728672² = 494782245767168, 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15278 + ... + 16274.

Almost surely, 2^15728672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15728672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16975980).

15728672 is an abundant number, since it is smaller than the sum of its proper divisors (18223288).

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

15728672 is a wasteful number, since it uses less digits than its factorization.

15728672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1045 counting only the distinct ones).

The product of its digits is 47040, while the sum is 38.

The square root of 15728672 is about 3965.9389808720. The cubic root of 15728672 is about 250.5516989508.

The spelling of 15728672 in words is "fifteen million, seven hundred twenty-eight thousand, six hundred seventy-two".