73800 has 72 divisors (see below), whose sum is σ = 253890. Its totient is φ = 19200.

The previous prime is 73783. The next prime is 73819. The reversal of 73800 is 837.

73800 = T₆₄ + T₆₅ + ... + T₈₈.

It can be written as a sum of positive squares in 3 ways, for example, as 34596 + 39204 = 186^2 + 198^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 13.

It is an unprimeable number.

73800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1780 + ... + 1820.

2⁷³⁸⁰⁰ 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 73800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126945).

73800 is an abundant number, since it is smaller than the sum of its proper divisors (180090).

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

73800 is a wasteful number, since it uses less digits than its factorization.

73800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 73800 is about 271.6615541441. The cubic root of 73800 is about 41.9455075613.

The spelling of 73800 in words is "seventy-three thousand, eight hundred".