73888081920 has 288 divisors, whose sum is σ = 271152259560. Its totient is φ = 18544066560.

The previous prime is 73888081879. The next prime is 73888081921. The reversal of 73888081920 is 2918088837.

It can be written as a sum of positive squares in 4 ways, for example, as 56362558464 + 17525523456 = 237408^2 + 132384^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (73888081921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1543140 + ... + 1590300.

Almost surely, 2^73888081920 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 73888081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135576129780).

73888081920 is an abundant number, since it is smaller than the sum of its proper divisors (197264177640).

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

73888081920 is a wasteful number, since it uses less digits than its factorization.

73888081920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47211 (or 47188 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 73888081920 in words is "seventy-three billion, eight hundred eighty-eight million, eighty-one thousand, nine hundred twenty".