15117872 has 60 divisors (see below), whose sum is σ = 37191816. Its totient is φ = 5886720.

The previous prime is 15117871. The next prime is 15117881. The reversal of 15117872 is 27871151.

15117872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (15117871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7748 + ... + 9500.

Almost surely, 2^15117872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15117872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18595908).

15117872 is an abundant number, since it is smaller than the sum of its proper divisors (22073944).

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

15117872 is a wasteful number, since it uses less digits than its factorization.

15117872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1773 counting only the distinct ones).

The product of its digits is 3920, while the sum is 32.

The square root of 15117872 is about 3888.1707781423. The cubic root of 15117872 is about 247.2655167893.

The spelling of 15117872 in words is "fifteen million, one hundred seventeen thousand, eight hundred seventy-two".