72084480 has 264 divisors, whose sum is σ = 262048752. Its totient is φ = 16809984.

The previous prime is 72084479. The next prime is 72084491. The reversal of 72084480 is 8448027.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3793911 + ... + 3793929.

Almost surely, 2^72084480 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 72084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131024376).

72084480 is an abundant number, since it is smaller than the sum of its proper divisors (189964272).

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

72084480 is a wasteful number, since it uses less digits than its factorization.

72084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 72084480 is about 8490.2579466115. The cubic root of 72084480 is about 416.1794097937.

The spelling of 72084480 in words is "seventy-two million, eighty-four thousand, four hundred eighty".