15987072 has 128 divisors (see below), whose sum is σ = 47001600. Its totient is φ = 4792320.

The previous prime is 15987067. The next prime is 15987107. The reversal of 15987072 is 27078951.

15987072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×15987072² = 511172942266368, which contains 22 as substring.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 15987072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202329 + ... + 202407.

It is an arithmetic number, because the mean of its divisors is an integer number (367200).

Almost surely, 2^15987072 is an apocalyptic number.

15987072 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 15987072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23500800).

15987072 is an abundant number, since it is smaller than the sum of its proper divisors (31014528).

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

15987072 is a wasteful number, since it uses less digits than its factorization.

15987072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 15987072 is about 3998.3836734361. The cubic root of 15987072 is about 251.9163239445.

The spelling of 15987072 in words is "fifteen million, nine hundred eighty-seven thousand, seventy-two".