72320000 has 110 divisors (see below), whose sum is σ = 182252598. Its totient is φ = 28672000.

The previous prime is 72319969. The next prime is 72320011. The reversal of 72320000 is 2327.

It can be written as a sum of positive squares in 5 ways, for example, as 51380224 + 20939776 = 7168^2 + 4576^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 639944 + ... + 640056.

Almost surely, 2^72320000 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 72320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91126299).

72320000 is an abundant number, since it is smaller than the sum of its proper divisors (109932598).

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

72320000 is an equidigital number, since it uses as much as digits as its factorization.

72320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 14.

The square root of 72320000 is about 8504.1166501877. The cubic root of 72320000 is about 416.6321749226.

Adding to 72320000 its reverse (2327), we get a palindrome (72322327).

It can be divided in two parts, 72 and 320000, that multiplied together give a square (23040000 = 4800²).

The spelling of 72320000 in words is "seventy-two million, three hundred twenty thousand".