162072960 has 256 divisors, whose sum is σ = 611020800. Its totient is φ = 35758080.

The previous prime is 162072949. The next prime is 162072997. The reversal of 162072960 is 69270261.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416446 + ... + 416834.

It is an arithmetic number, because the mean of its divisors is an integer number (2386800).

Almost surely, 2^162072960 is an apocalyptic number.

162072960 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 162072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305510400).

162072960 is an abundant number, since it is smaller than the sum of its proper divisors (448947840).

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

162072960 is a wasteful number, since it uses less digits than its factorization.

162072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 162072960 is about 12730.7878782108. The cubic root of 162072960 is about 545.2180032944.

The spelling of 162072960 in words is "one hundred sixty-two million, seventy-two thousand, nine hundred sixty".