16248672 has 144 divisors (see below), whose sum is σ = 52835328. Its totient is φ = 4688640.

The previous prime is 16248653. The next prime is 16248689. The reversal of 16248672 is 27684261.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 72753 + ... + 72975.

It is an arithmetic number, because the mean of its divisors is an integer number (366912).

Almost surely, 2^16248672 is an apocalyptic number.

16248672 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 16248672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26417664).

16248672 is an abundant number, since it is smaller than the sum of its proper divisors (36586656).

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

16248672 is a wasteful number, since it uses less digits than its factorization.

16248672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 262 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 16248672 is about 4030.9641526563. The cubic root of 16248672 is about 253.2829508918.

It can be divided in two parts, 1624 and 8672, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 16248672 in words is "sixteen million, two hundred forty-eight thousand, six hundred seventy-two".