72240480 has 288 divisors, whose sum is σ = 282338784. Its totient is φ = 16662528.

The previous prime is 72240449. The next prime is 72240481. The reversal of 72240480 is 8404227.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72240481) 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 47 ways as a sum of consecutive naturals, for example, 318127 + ... + 318353.

It is an arithmetic number, because the mean of its divisors is an integer number (980343).

Almost surely, 2^72240480 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 72240480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141169392).

72240480 is an abundant number, since it is smaller than the sum of its proper divisors (210098304).

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

72240480 is a wasteful number, since it uses less digits than its factorization.

72240480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 267 counting only the distinct ones).

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

The square root of 72240480 is about 8499.4399815517. The cubic root of 72240480 is about 416.4794152390.

The spelling of 72240480 in words is "seventy-two million, two hundred forty thousand, four hundred eighty".