73126800 has 300 divisors, whose sum is σ = 273958036. Its totient is φ = 18662400.

The previous prime is 73126793. The next prime is 73126811. The reversal of 73126800 is 862137.

It can be written as a sum of positive squares in 6 ways, for example, as 3370896 + 69755904 = 1836^2 + 8352^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1198770 + ... + 1198830.

Almost surely, 2^73126800 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 73126800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136979018).

73126800 is an abundant number, since it is smaller than the sum of its proper divisors (200831236).

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

73126800 is a wasteful number, since it uses less digits than its factorization.

73126800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 73126800 is about 8551.4209345582. The cubic root of 73126800 is about 418.1757614979.

Adding to 73126800 its reverse (862137), we get a palindrome (73988937).

The spelling of 73126800 in words is "seventy-three million, one hundred twenty-six thousand, eight hundred".