73050400 has 72 divisors (see below), whose sum is σ = 179988480. Its totient is φ = 28949760.

The previous prime is 73050349. The next prime is 73050401. The reversal of 73050400 is 405037.

It is not an unprimeable number, because it can be changed into a prime (73050401) 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, 101241 + ... + 101959.

It is an arithmetic number, because the mean of its divisors is an integer number (2499840).

Almost surely, 2^73050400 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 73050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89994240).

73050400 is an abundant number, since it is smaller than the sum of its proper divisors (106938080).

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

73050400 is a wasteful number, since it uses less digits than its factorization.

73050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 73050400 is about 8546.9526733216. The cubic root of 73050400 is about 418.0300795643.

Adding to 73050400 its reverse (405037), we get a palindrome (73455437).

The spelling of 73050400 in words is "seventy-three million, fifty thousand, four hundred".