72162144 has 120 divisors (see below), whose sum is σ = 223627320. Its totient is φ = 22639104.

The previous prime is 72162143. The next prime is 72162169. The reversal of 72162144 is 44126127.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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 (72162143) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 4244824 + ... + 4244840.

It is an arithmetic number, because the mean of its divisors is an integer number (1863561).

Almost surely, 2^72162144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72162144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111813660).

72162144 is an abundant number, since it is smaller than the sum of its proper divisors (151465176).

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

72162144 is an frugal number, since it uses more digits than its factorization.

72162144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 22 counting only the distinct ones).

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

The square root of 72162144 is about 8494.8304279721. The cubic root of 72162144 is about 416.3288203956.

The spelling of 72162144 in words is "seventy-two million, one hundred sixty-two thousand, one hundred forty-four".