15972768 has 192 divisors, whose sum is σ = 56448000. Its totient is φ = 4292352.

The previous prime is 15972743. The next prime is 15972791. The reversal of 15972768 is 86727951.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114843 + ... + 114981.

It is an arithmetic number, because the mean of its divisors is an integer number (294000).

Almost surely, 2^15972768 is an apocalyptic number.

15972768 is a gapful number since it is divisible by the number (18) 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 15972768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28224000).

15972768 is an abundant number, since it is smaller than the sum of its proper divisors (40475232).

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

15972768 is a wasteful number, since it uses less digits than its factorization.

15972768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 170 counting only the distinct ones).

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

The square root of 15972768 is about 3996.5945503641. The cubic root of 15972768 is about 251.8411697550.

It can be divided in two parts, 159 and 72768, that added together give a palindrome (72927).

The spelling of 15972768 in words is "fifteen million, nine hundred seventy-two thousand, seven hundred sixty-eight".