73552750164100 has 27 divisors (see below), whose sum is σ = 159609653961807. Its totient is φ = 29421065760480.

The previous prime is 73552750164053. The next prime is 73552750164109. The reversal of 73552750164100 is 146105725537.

The square root of 73552750164100 is 8576290.

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

It can be written as a sum of positive squares in 4 ways, for example, as 18344997007236 + 55207753156864 = 4283106^2 + 7430192^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73552750164109) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 85334086 + ... + 86191714.

Almost surely, 2^{73552750164100} is an apocalyptic number.

73552750164100 is the 8576290-th square number.

It is an amenable number.

73552750164100 is an abundant number, since it is smaller than the sum of its proper divisors (86056903797707).

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

73552750164100 is an frugal number, since it uses more digits than its factorization.

73552750164100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715272 (or 857636 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 46.

Adding to 73552750164100 its reverse (146105725537), we get a palindrome (73698855889637).

The spelling of 73552750164100 in words is "seventy-three trillion, five hundred fifty-two billion, seven hundred fifty million, one hundred sixty-four thousand, one hundred".