72733606560000 has 2025 divisors, whose sum is σ = 286083980977179. Its totient is φ = 18372220416000.

The previous prime is 72733606559983. The next prime is 72733606560001. The reversal of 72733606560000 is 6560633727.

The square root of 72733606560000 is 8528400.

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

72733606560000 is a `hidden beast` number, since 7 + 2 + 7 + 3 + 36 + 0 + 6 + 5 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5702314754304 + 67031291805696 = 2387952^2 + 8187264^2 .

It is a tau number, because it is divible by the number of its divisors (2025).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (72733606560001) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 706151519949 + ... + 706151520051.

Almost surely, 2^{72733606560000} is an apocalyptic number.

72733606560000 is the 8528400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72733606560000

72733606560000 is an abundant number, since it is smaller than the sum of its proper divisors (213350374417179).

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

72733606560000 is an frugal number, since it uses more digits than its factorization.

72733606560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 72733606560000 in words is "seventy-two trillion, seven hundred thirty-three billion, six hundred six million, five hundred sixty thousand".