72468144 has 120 divisors (see below), whose sum is σ = 245475360. Its totient is φ = 19482624.

The previous prime is 72468139. The next prime is 72468167. The reversal of 72468144 is 44186427.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 72468099 and 72468108.

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, 15022 + ... + 19250.

It is an arithmetic number, because the mean of its divisors is an integer number (2045628).

Almost surely, 2^72468144 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 72468144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122737680).

72468144 is an abundant number, since it is smaller than the sum of its proper divisors (173007216).

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

72468144 is a wasteful number, since it uses less digits than its factorization.

72468144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4267 (or 4258 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 72468144 is about 8512.8223286992. The cubic root of 72468144 is about 416.9164644704.

The spelling of 72468144 in words is "seventy-two million, four hundred sixty-eight thousand, one hundred forty-four".