72018144 has 144 divisors (see below), whose sum is σ = 226437120. Its totient is φ = 21530880.

The previous prime is 72018119. The next prime is 72018157. The reversal of 72018144 is 44181027.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×72018144² = 10373226130409472, which contains 22 as substring.

It is a congruent number.

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, 402247 + ... + 402425.

It is an arithmetic number, because the mean of its divisors is an integer number (1572480).

Almost surely, 2^72018144 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 72018144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).

72018144 is an abundant number, since it is smaller than the sum of its proper divisors (154418976).

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

72018144 is a wasteful number, since it uses less digits than its factorization.

72018144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 72018144 is about 8486.3504523440. The cubic root of 72018144 is about 416.0517070836.

The spelling of 72018144 in words is "seventy-two million, eighteen thousand, one hundred forty-four".