72504000 has 336 divisors, whose sum is σ = 278160480. Its totient is φ = 17971200.

The previous prime is 72503971. The next prime is 72504007. The reversal of 72504000 is 40527.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (72504007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1367974 + ... + 1368026.

Almost surely, 2^72504000 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 72504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139080240).

72504000 is an abundant number, since it is smaller than the sum of its proper divisors (205656480).

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

72504000 is a wasteful number, since it uses less digits than its factorization.

72504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 72504000 is about 8514.9280678113. The cubic root of 72504000 is about 416.9852141817.

Adding to 72504000 its reverse (40527), we get a palindrome (72544527).

The spelling of 72504000 in words is "seventy-two million, five hundred four thousand".