72148320 has 240 divisors, whose sum is σ = 268939440. Its totient is φ = 18164736.

The previous prime is 72148313. The next prime is 72148343. The reversal of 72148320 is 2384127.

It is a tau number, because it is divible by the number of its divisors (240).

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

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 39 ways as a sum of consecutive naturals, for example, 246094 + ... + 246386.

It is an arithmetic number, because the mean of its divisors is an integer number (1120581).

Almost surely, 2^72148320 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 72148320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134469720).

72148320 is an abundant number, since it is smaller than the sum of its proper divisors (196791120).

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

72148320 is a wasteful number, since it uses less digits than its factorization.

72148320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 322 counting only the distinct ones).

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

The square root of 72148320 is about 8494.0167176666. The cubic root of 72148320 is about 416.3022335231.

The spelling of 72148320 in words is "seventy-two million, one hundred forty-eight thousand, three hundred twenty".