72608000 has 72 divisors (see below), whose sum is σ = 180955320. Its totient is φ = 29030400.

The previous prime is 72607999. The next prime is 72608009. The reversal of 72608000 is 80627.

It can be written as a sum of positive squares in 4 ways, for example, as 16777216 + 55830784 = 4096^2 + 7472^2 .

It is not an unprimeable number, because it can be changed into a prime (72608009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30866 + ... + 33134.

Almost surely, 2^72608000 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 72608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90477660).

72608000 is an abundant number, since it is smaller than the sum of its proper divisors (108347320).

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

72608000 is an equidigital number, since it uses as much as digits as its factorization.

72608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 72608000 is about 8521.0328012513. The cubic root of 72608000 is about 417.1844939629.

Adding to 72608000 its reverse (80627), we get a palindrome (72688627).

The spelling of 72608000 in words is "seventy-two million, six hundred eight thousand".