15872000 has 104 divisors (see below), whose sum is σ = 40889472. Its totient is φ = 6144000.

The previous prime is 15871997. The next prime is 15872023. The reversal of 15872000 is 27851.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 511985 + ... + 512015.

It is an arithmetic number, because the mean of its divisors is an integer number (393168).

Almost surely, 2^15872000 is an apocalyptic number.

15872000 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 15872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20444736).

15872000 is an abundant number, since it is smaller than the sum of its proper divisors (25017472).

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

15872000 is an frugal number, since it uses more digits than its factorization.

15872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 15872000 is about 3983.9678713564. The cubic root of 15872000 is about 251.3104521913.

Adding to 15872000 its reverse (27851), we get a palindrome (15899851).

The spelling of 15872000 in words is "fifteen million, eight hundred seventy-two thousand".