72504240 has 80 divisors (see below), whose sum is σ = 225708768. Its totient is φ = 19253248.

The previous prime is 72504239. The next prime is 72504283. The reversal of 72504240 is 4240527.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 72504240.

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 15 ways as a sum of consecutive naturals, for example, 75604 + ... + 76556.

Almost surely, 2^72504240 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 72504240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112854384).

72504240 is an abundant number, since it is smaller than the sum of its proper divisors (153204528).

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

72504240 is a wasteful number, since it uses less digits than its factorization.

72504240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 72504240 is about 8514.9421606961. The cubic root of 72504240 is about 416.9856742774.

Adding to 72504240 its reverse (4240527), we get a palindrome (76744767).

The spelling of 72504240 in words is "seventy-two million, five hundred four thousand, two hundred forty".