73528048800 has 216 divisors, whose sum is σ = 259467455520. Its totient is φ = 19593177600.

The previous prime is 73528048733. The next prime is 73528048807. The reversal of 73528048800 is 884082537.

73528048800 is a `hidden beast` number, since 7 + 3 + 528 + 0 + 48 + 80 + 0 = 666.

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 (73528048807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13036381 + ... + 13042019.

It is an arithmetic number, because the mean of its divisors is an integer number (1201238220).

Almost surely, 2^73528048800 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 73528048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129733727760).

73528048800 is an abundant number, since it is smaller than the sum of its proper divisors (185939406720).

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

73528048800 is a wasteful number, since it uses less digits than its factorization.

73528048800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7476 (or 7460 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 73528048800 in words is "seventy-three billion, five hundred twenty-eight million, forty-eight thousand, eight hundred".