72304400 has 240 divisors, whose sum is σ = 221414400. Its totient is φ = 22579200.

The previous prime is 72304339. The next prime is 72304409. The reversal of 72304400 is 440327.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (72304409) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2332385 + ... + 2332415.

It is an arithmetic number, because the mean of its divisors is an integer number (922560).

Almost surely, 2^72304400 is an apocalyptic number.

72304400 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 72304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110707200).

72304400 is an abundant number, since it is smaller than the sum of its proper divisors (149110000).

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

72304400 is a wasteful number, since it uses less digits than its factorization.

72304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 72304400 is about 8503.1993978737. The cubic root of 72304400 is about 416.6022158089.

Adding to 72304400 its reverse (440327), we get a palindrome (72744727).

The spelling of 72304400 in words is "seventy-two million, three hundred four thousand, four hundred".