73054800 has 360 divisors, whose sum is σ = 313424384. Its totient is φ = 15344640.

The previous prime is 73054789. The next prime is 73054801. The reversal of 73054800 is 845037.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73054801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 327489 + ... + 327711.

Almost surely, 2^73054800 is an apocalyptic number.

73054800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73054800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156712192).

73054800 is an abundant number, since it is smaller than the sum of its proper divisors (240369584).

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

73054800 is a wasteful number, since it uses less digits than its factorization.

73054800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 73054800 is about 8547.2100711285. The cubic root of 73054800 is about 418.0384723790.

Adding to 73054800 its reverse (845037), we get a palindrome (73899837).

The spelling of 73054800 in words is "seventy-three million, fifty-four thousand, eight hundred".