15288672 has 48 divisors (see below), whose sum is σ = 45868032. Its totient is φ = 4368000.

The previous prime is 15288671. The next prime is 15288697. The reversal of 15288672 is 27688251.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 15288672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15288671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10704 + ... + 12047.

It is an arithmetic number, because the mean of its divisors is an integer number (955584).

Almost surely, 2^15288672 is an apocalyptic number.

15288672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

15288672 is an abundant number, since it is smaller than the sum of its proper divisors (30579360).

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

15288672 is a wasteful number, since it uses less digits than its factorization.

15288672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22771 (or 22763 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 15288672 is about 3910.0731450959. The cubic root of 15288672 is about 248.1932243705.

The spelling of 15288672 in words is "fifteen million, two hundred eighty-eight thousand, six hundred seventy-two".