72544500 has 288 divisors, whose sum is σ = 272563200. Its totient is φ = 16228800.

The previous prime is 72544487. The next prime is 72544501. The reversal of 72544500 is 544527.

72544500 is a `hidden beast` number, since 72 + 544 + 50 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72544501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1543477 + ... + 1543523.

It is an arithmetic number, because the mean of its divisors is an integer number (946400).

Almost surely, 2^72544500 is an apocalyptic number.

72544500 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72544500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136281600).

72544500 is an abundant number, since it is smaller than the sum of its proper divisors (200018700).

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

72544500 is a wasteful number, since it uses less digits than its factorization.

72544500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 64 counting only the distinct ones).

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

The square root of 72544500 is about 8517.3059120828. The cubic root of 72544500 is about 417.0628409686.

Adding to 72544500 its sum of digits (27), we get a palindrome (72544527).

The spelling of 72544500 in words is "seventy-two million, five hundred forty-four thousand, five hundred".