72405504 has 120 divisors (see below), whose sum is σ = 220231440. Its totient is φ = 22837248.

The previous prime is 72405503. The next prime is 72405511. The reversal of 72405504 is 40550427.

72405504 is a `hidden beast` number, since 72 + 40 + 550 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (72405503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87139 + ... + 87965.

It is an arithmetic number, because the mean of its divisors is an integer number (1835262).

Almost surely, 2^72405504 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 72405504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110115720).

72405504 is an abundant number, since it is smaller than the sum of its proper divisors (147825936).

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

72405504 is a wasteful number, since it uses less digits than its factorization.

72405504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 72405504 is about 8509.1423774667. The cubic root of 72405504 is about 416.7963051189.

The spelling of 72405504 in words is "seventy-two million, four hundred five thousand, five hundred four".