72480 has 48 divisors (see below), whose sum is σ = 229824. Its totient is φ = 19200.

The previous prime is 72469. The next prime is 72481. The reversal of 72480 is 8427.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (72481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 405 + ... + 555.

It is an arithmetic number, because the mean of its divisors is an integer number (4788).

2⁷²⁴⁸⁰ 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 72480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114912).

72480 is an abundant number, since it is smaller than the sum of its proper divisors (157344).

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

72480 is a wasteful number, since it uses less digits than its factorization.

72480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 72480 is about 269.2210987274. The cubic root of 72480 is about 41.6939199481.

The spelling of 72480 in words is "seventy-two thousand, four hundred eighty".