15972160 has 112 divisors (see below), whose sum is σ = 41696640. Its totient is φ = 5806080.

The previous prime is 15972157. The next prime is 15972193. The reversal of 15972160 is 6127951.

15972160 = T₄₈₀ + T₄₈₁ + ... + T₅₉₀.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 224925 + ... + 224995.

Almost surely, 2^15972160 is an apocalyptic number.

15972160 is a gapful number since it is divisible by the number (10) 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 15972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20848320).

15972160 is an abundant number, since it is smaller than the sum of its proper divisors (25724480).

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

15972160 is a wasteful number, since it uses less digits than its factorization.

15972160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 15972160 is about 3996.5184848816. The cubic root of 15972160 is about 251.8379742877.

The spelling of 15972160 in words is "fifteen million, nine hundred seventy-two thousand, one hundred sixty".