15967872 has 96 divisors (see below), whose sum is σ = 46781280. Its totient is φ = 5227008.

The previous prime is 15967871. The next prime is 15967873. The reversal of 15967872 is 27876951.

It is an interprime number because it is at equal distance from previous prime (15967871) and next prime (15967873).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (211680) is a multiple of the sum of its prime factors (270).

It is not an unprimeable number, because it can be changed into a prime (15967871) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 95533 + ... + 95699.

It is an arithmetic number, because the mean of its divisors is an integer number (487305).

Almost surely, 2^15967872 is an apocalyptic number.

15967872 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 15967872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23390640).

15967872 is an abundant number, since it is smaller than the sum of its proper divisors (30813408).

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

15967872 is a wasteful number, since it uses less digits than its factorization.

15967872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 255 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 15967872 is about 3995.9819819414. The cubic root of 15967872 is about 251.8154355309.

The spelling of 15967872 in words is "fifteen million, nine hundred sixty-seven thousand, eight hundred seventy-two".