162108672 has 144 divisors (see below), whose sum is σ = 486635520. Its totient is φ = 47462400.

The previous prime is 162108649. The next prime is 162108673. The reversal of 162108672 is 276801261.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162108673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261579 + ... + 262197.

Almost surely, 2^162108672 is an apocalyptic number.

162108672 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 162108672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243317760).

162108672 is an abundant number, since it is smaller than the sum of its proper divisors (324526848).

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

162108672 is a wasteful number, since it uses less digits than its factorization.

162108672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 162108672 is about 12732.1903850045. The cubic root of 162108672 is about 545.2580457448.

The spelling of 162108672 in words is "one hundred sixty-two million, one hundred eight thousand, six hundred seventy-two".