73500 has 72 divisors (see below), whose sum is σ = 248976. Its totient is φ = 16800.

The previous prime is 73483. The next prime is 73517. The reversal of 73500 is 537.

It is an interprime number because it is at equal distance from previous prime (73483) and next prime (73517).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 73500.

It is a congruent number.

It is an unprimeable number.

73500 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 23 ways as a sum of consecutive naturals, for example, 10497 + ... + 10503.

It is an arithmetic number, because the mean of its divisors is an integer number (3458).

2⁷³⁵⁰⁰ is an apocalyptic number.

73500 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 73500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124488).

73500 is an abundant number, since it is smaller than the sum of its proper divisors (175476).

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

73500 is a wasteful number, since it uses less digits than its factorization.

73500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 15.

The square root of 73500 is about 271.1088342345. The cubic root of 73500 is about 41.8885936412. Note that the first 3 decimals are identical.

Multiplying 73500 by its sum of digits (15), we get a square (1102500 = 1050²).

73500 divided by its sum of digits (15) gives a square (4900 = 70²).

The spelling of 73500 in words is "seventy-three thousand, five hundred".