72308480 has 72 divisors (see below), whose sum is σ = 183444912. Its totient is φ = 27213824.

The previous prime is 72308473. The next prime is 72308501. The reversal of 72308480 is 8480327.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 20099 + ... + 23421.

It is an arithmetic number, because the mean of its divisors is an integer number (2547846).

Almost surely, 2^72308480 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 72308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91722456).

72308480 is an abundant number, since it is smaller than the sum of its proper divisors (111136432).

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

72308480 is a wasteful number, since it uses less digits than its factorization.

72308480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3361 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 72308480 is about 8503.4393041875. The cubic root of 72308480 is about 416.6100516855.

The spelling of 72308480 in words is "seventy-two million, three hundred eight thousand, four hundred eighty".