72052736400 has 180 divisors, whose sum is σ = 254142850260. Its totient is φ = 18899020800.

The previous prime is 72052736381. The next prime is 72052736417. The reversal of 72052736400 is 463725027.

It is a happy number.

72052736400 is a `hidden beast` number, since 7 + 2 + 0 + 5 + 2 + 7 + 3 + 640 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8591065344 + 63461671056 = 92688^2 + 251916^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55546 + ... + 383654.

Almost surely, 2^72052736400 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 72052736400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127071425130).

72052736400 is an abundant number, since it is smaller than the sum of its proper divisors (182090113860).

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

72052736400 is a wasteful number, since it uses less digits than its factorization.

72052736400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328194 (or 328180 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 72052736400 in words is "seventy-two billion, fifty-two million, seven hundred thirty-six thousand, four hundred".