72300480 has 336 divisors, whose sum is σ = 281452320. Its totient is φ = 15654912.

The previous prime is 72300469. The next prime is 72300493. The reversal of 72300480 is 8400327.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 72300480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1364134 + ... + 1364186.

Almost surely, 2^72300480 is an apocalyptic number.

72300480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140726160).

72300480 is an abundant number, since it is smaller than the sum of its proper divisors (209151840).

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

72300480 is a wasteful number, since it uses less digits than its factorization.

72300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 72300480 is about 8502.9688932749. The cubic root of 72300480 is about 416.5946869439.

The spelling of 72300480 in words is "seventy-two million, three hundred thousand, four hundred eighty".