72420480 has 320 divisors, whose sum is σ = 284359680. Its totient is φ = 17418240.

The previous prime is 72420479. The next prime is 72420487. The reversal of 72420480 is 8402427.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (72420487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 570177 + ... + 570303.

It is an arithmetic number, because the mean of its divisors is an integer number (888624).

Almost surely, 2^72420480 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 72420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142179840).

72420480 is an abundant number, since it is smaller than the sum of its proper divisors (211939200).

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

72420480 is a wasteful number, since it uses less digits than its factorization.

72420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 72420480 is about 8510.0223266452. The cubic root of 72420480 is about 416.8250391737.

It can be divided in two parts, 72420 and 480, that added together give a square (72900 = 270²).

The spelling of 72420480 in words is "seventy-two million, four hundred twenty thousand, four hundred eighty".