15480672 has 72 divisors (see below), whose sum is σ = 42088536. Its totient is φ = 4981248.

The previous prime is 15480643. The next prime is 15480677. The reversal of 15480672 is 27608451.

15480672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15480677) 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, 212028 + ... + 212100.

It is an arithmetic number, because the mean of its divisors is an integer number (584563).

Almost surely, 2^15480672 is an apocalyptic number.

15480672 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 15480672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21044268).

15480672 is an abundant number, since it is smaller than the sum of its proper divisors (26607864).

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

15480672 is an equidigital number, since it uses as much as digits as its factorization.

15480672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 15480672 is about 3934.5485128538. The cubic root of 15480672 is about 249.2278683728.

The spelling of 15480672 in words is "fifteen million, four hundred eighty thousand, six hundred seventy-two".