73052800 has 96 divisors (see below), whose sum is σ = 185641020. Its totient is φ = 28385280.

The previous prime is 73052783. The next prime is 73052803. The reversal of 73052800 is 825037.

It can be written as a sum of positive squares in 6 ways, for example, as 20866624 + 52186176 = 4568^2 + 7224^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (73052803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118092 + ... + 118708.

Almost surely, 2^73052800 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 73052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92820510).

73052800 is an abundant number, since it is smaller than the sum of its proper divisors (112588220).

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

73052800 is a wasteful number, since it uses less digits than its factorization.

73052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 73052800 is about 8547.0930730863. The cubic root of 73052800 is about 418.0346575050.

Adding to 73052800 its reverse (825037), we get a palindrome (73877837).

The spelling of 73052800 in words is "seventy-three million, fifty-two thousand, eight hundred".