73533168900 has 405 divisors, whose sum is σ = 251096452453. Its totient is φ = 18613108800.

The previous prime is 73533168871. The next prime is 73533168931. The reversal of 73533168900 is 986133537.

The square root of 73533168900 is 271170.

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

It can be written as a sum of positive squares in only one way, i.e., 26471940804 + 47061228096 = 162702^2 + 216936^2 .

It is a tau number, because it is divible by the number of its divisors (405).

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

It is a Duffinian 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 134 ways as a sum of consecutive naturals, for example, 561321835 + ... + 561321965.

Almost surely, 2^73533168900 is an apocalyptic number.

73533168900 is the 271170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73533168900

73533168900 is an abundant number, since it is smaller than the sum of its proper divisors (177563283553).

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

73533168900 is a wasteful number, since it uses less digits than its factorization.

73533168900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 73533168900 in words is "seventy-three billion, five hundred thirty-three million, one hundred sixty-eight thousand, nine hundred".