15972672 has 56 divisors (see below), whose sum is σ = 44110656. Its totient is φ = 5091328.

The previous prime is 15972661. The next prime is 15972689. The reversal of 15972672 is 27627951.

15972672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 15972672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2608 + ... + 6224.

Almost surely, 2^15972672 is an apocalyptic number.

15972672 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 15972672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22055328).

15972672 is an abundant number, since it is smaller than the sum of its proper divisors (28137984).

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

15972672 is a wasteful number, since it uses less digits than its factorization.

15972672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3655 (or 3645 counting only the distinct ones).

The product of its digits is 52920, while the sum is 39.

The square root of 15972672 is about 3996.5825401210. The cubic root of 15972672 is about 251.8406652129.

The spelling of 15972672 in words is "fifteen million, nine hundred seventy-two thousand, six hundred seventy-two".