72253440000 has 855 divisors, whose sum is σ = 303415896927. Its totient is φ = 16515072000.

The previous prime is 72253439983. The next prime is 72253440013. The reversal of 72253440000 is 4435227.

The square root of 72253440000 is 268800.

It is a perfect power (a square), and thus also a powerful number.

72253440000 is a `hidden beast` number, since 7 + 2 + 253 + 4 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5664669696 + 66588770304 = 75264^2 + 258048^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10321919997 + ... + 10321920003.

Almost surely, 2^72253440000 is an apocalyptic number.

72253440000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72253440000 is the 268800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72253440000

72253440000 is an abundant number, since it is smaller than the sum of its proper divisors (231162456927).

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

72253440000 is an frugal number, since it uses more digits than its factorization.

72253440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

Adding to 72253440000 its reverse (4435227), we get a palindrome (72257875227).

The spelling of 72253440000 in words is "seventy-two billion, two hundred fifty-three million, four hundred forty thousand".