162045072 has 120 divisors (see below), whose sum is σ = 545629760. Its totient is φ = 43856640.

The previous prime is 162045047. The next prime is 162045101. The reversal of 162045072 is 270540261.

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 23 ways as a sum of consecutive naturals, for example, 14922 + ... + 23382.

Almost surely, 2^162045072 is an apocalyptic number.

162045072 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 162045072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272814880).

162045072 is an abundant number, since it is smaller than the sum of its proper divisors (383584688).

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

162045072 is a wasteful number, since it uses less digits than its factorization.

162045072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8501 (or 8492 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 162045072 is about 12729.6925336003. The cubic root of 162045072 is about 545.1867294947.

The spelling of 162045072 in words is "one hundred sixty-two million, forty-five thousand, seventy-two".