72304000 has 64 divisors (see below), whose sum is σ = 179805600. Its totient is φ = 28915200.

The previous prime is 72303991. The next prime is 72304061. The reversal of 72304000 is 40327.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13741 + ... + 18259.

Almost surely, 2^72304000 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 72304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89902800).

72304000 is an abundant number, since it is smaller than the sum of its proper divisors (107501600).

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

72304000 is an equidigital number, since it uses as much as digits as its factorization.

72304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4548 (or 4526 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 72304000 is about 8503.1758772826. The cubic root of 72304000 is about 416.6014475698.

Adding to 72304000 its reverse (40327), we get a palindrome (72344327).

The spelling of 72304000 in words is "seventy-two million, three hundred four thousand".