73042800 has 60 divisors (see below), whose sum is σ = 233984280. Its totient is φ = 19477760.

The previous prime is 73042729. The next prime is 73042807. The reversal of 73042800 is 824037.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73042807) 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, 29235 + ... + 31634.

It is an arithmetic number, because the mean of its divisors is an integer number (3899738).

Almost surely, 2^73042800 is an apocalyptic number.

It is an amenable number.

73042800 is an abundant number, since it is smaller than the sum of its proper divisors (160941480).

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

73042800 is a wasteful number, since it uses less digits than its factorization.

73042800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60890 (or 60879 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 73042800 is about 8546.5080588507. The cubic root of 73042800 is about 418.0155820905.

Adding to 73042800 its reverse (824037), we get a palindrome (73866837).

The spelling of 73042800 in words is "seventy-three million, forty-two thousand, eight hundred".