72400500 has 192 divisors, whose sum is σ = 243210240. Its totient is φ = 18576000.

The previous prime is 72400499. The next prime is 72400561. The reversal of 72400500 is 500427.

It is a happy number.

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

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 418414 + ... + 418586.

It is an arithmetic number, because the mean of its divisors is an integer number (1266720).

Almost surely, 2^72400500 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 72400500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121605120).

72400500 is an abundant number, since it is smaller than the sum of its proper divisors (170809740).

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

72400500 is a wasteful number, since it uses less digits than its factorization.

72400500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 214 counting only the distinct ones).

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

The square root of 72400500 is about 8508.8483357033. The cubic root of 72400500 is about 416.7867031934.

Adding to 72400500 its reverse (500427), we get a palindrome (72900927).

It can be divided in two parts, 72400 and 500, that added together give a square (72900 = 270²).

The spelling of 72400500 in words is "seventy-two million, four hundred thousand, five hundred".