162072144 has 80 divisors (see below), whose sum is σ = 501009600. Its totient is φ = 49866624.

The previous prime is 162072143. The next prime is 162072179. The reversal of 162072144 is 441270261.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162072143) 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, 8814 + ... + 20045.

It is an arithmetic number, because the mean of its divisors is an integer number (6262620).

Almost surely, 2^162072144 is an apocalyptic number.

It is an amenable number.

162072144 is an abundant number, since it is smaller than the sum of its proper divisors (338937456).

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

162072144 is a wasteful number, since it uses less digits than its factorization.

162072144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28889 (or 28877 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 162072144 is about 12730.7558298791. The cubic root of 162072144 is about 545.2170882772.

The spelling of 162072144 in words is "one hundred sixty-two million, seventy-two thousand, one hundred forty-four".