73027800 has 144 divisors (see below), whose sum is σ = 253890000. Its totient is φ = 18789120.

The previous prime is 73027769. The next prime is 73027807. The reversal of 73027800 is 872037.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73027807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51501 + ... + 52899.

It is an arithmetic number, because the mean of its divisors is an integer number (1763125).

Almost surely, 2^73027800 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 73027800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126945000).

73027800 is an abundant number, since it is smaller than the sum of its proper divisors (180862200).

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

73027800 is a wasteful number, since it uses less digits than its factorization.

73027800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 73027800 is about 8545.6304624059. The cubic root of 73027800 is about 417.9869657039.

Adding to 73027800 its reverse (872037), we get a palindrome (73899837).

The spelling of 73027800 in words is "seventy-three million, twenty-seven thousand, eight hundred".