162072000 has 168 divisors, whose sum is σ = 580016112. Its totient is φ = 43200000.

The previous prime is 162071969. The next prime is 162072011. The reversal of 162072000 is 270261.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 70875 + ... + 73125.

Almost surely, 2^162072000 is an apocalyptic number.

162072000 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 162072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290008056).

162072000 is an abundant number, since it is smaller than the sum of its proper divisors (417944112).

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

162072000 is a wasteful number, since it uses less digits than its factorization.

162072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 162072000 is about 12730.7501742827. The cubic root of 162072000 is about 545.2169268033.

It can be divided in two parts, 1620 and 72000, that multiplied together give a square (116640000 = 10800²).

The spelling of 162072000 in words is "one hundred sixty-two million, seventy-two thousand".