15007872 has 192 divisors, whose sum is σ = 48837600. Its totient is φ = 4055040.

The previous prime is 15007859. The next prime is 15007901. The reversal of 15007872 is 27870051.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 789879 + ... + 789897.

Almost surely, 2^15007872 is an apocalyptic number.

15007872 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 15007872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24418800).

15007872 is an abundant number, since it is smaller than the sum of its proper divisors (33829728).

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

15007872 is a wasteful number, since it uses less digits than its factorization.

15007872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 15007872 is about 3873.9994837377. Note that the first 3 decimals coincide. The cubic root of 15007872 is about 246.6643421581.

The spelling of 15007872 in words is "fifteen million, seven thousand, eight hundred seventy-two".