162672000 has 128 divisors (see below), whose sum is σ = 539416800. Its totient is φ = 43366400.

The previous prime is 162671987. The next prime is 162672011. The reversal of 162672000 is 276261.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46306 + ... + 49694.

Almost surely, 2^162672000 is an apocalyptic number.

162672000 is a gapful number since it is divisible by the number (10) 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 162672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269708400).

162672000 is an abundant number, since it is smaller than the sum of its proper divisors (376744800).

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

162672000 is an equidigital number, since it uses as much as digits as its factorization.

162672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3421 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 162672000 is about 12754.2933947750. The cubic root of 162672000 is about 545.8889065393. Note that the first 3 decimals are identical.

The spelling of 162672000 in words is "one hundred sixty-two million, six hundred seventy-two thousand".