73209888000 has 864 divisors, whose sum is σ = 293979853440. Its totient is φ = 17385062400.

The previous prime is 73209887957. The next prime is 73209888001. The reversal of 73209888000 is 88890237.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73209888001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93023607 + ... + 93024393.

It is an arithmetic number, because the mean of its divisors is an integer number (340254460).

Almost surely, 2^73209888000 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 73209888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146989926720).

73209888000 is an abundant number, since it is smaller than the sum of its proper divisors (220769965440).

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

73209888000 is a wasteful number, since it uses less digits than its factorization.

73209888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 73209888000 in words is "seventy-three billion, two hundred nine million, eight hundred eighty-eight thousand".