72726730848000 has 1152 divisors, whose sum is σ = 282286778941440. Its totient is φ = 18403880140800.

The previous prime is 72726730847917. The next prime is 72726730848059. The reversal of 72726730848000 is 84803762727.

72726730848000 is a `hidden beast` number, since 7 + 2 + 72 + 67 + 30 + 8 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2523729592 + ... + 2523758408.

It is an arithmetic number, because the mean of its divisors is an integer number (245040606720).

Almost surely, 2^{72726730848000} 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 72726730848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141143389470720).

72726730848000 is an abundant number, since it is smaller than the sum of its proper divisors (209560048093440).

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

72726730848000 is a wasteful number, since it uses less digits than its factorization.

72726730848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29007 (or 28977 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 72726730848000 in words is "seventy-two trillion, seven hundred twenty-six billion, seven hundred thirty million, eight hundred forty-eight thousand".