73600 has 48 divisors (see below), whose sum is σ = 189720. Its totient is φ = 28160.

The previous prime is 73597. The next prime is 73607. The reversal of 73600 is 637.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3189 + ... + 3211.

2⁷³⁶⁰⁰ 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 73600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94860).

73600 is an abundant number, since it is smaller than the sum of its proper divisors (116120).

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

73600 is a wasteful number, since it uses less digits than its factorization.

73600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 73600 is about 271.2931993250. The cubic root of 73600 is about 41.9075821269.

It can be divided in two parts, 7 and 3600, that multiplied together give a triangular number (25200 = T₂₂₄).

The spelling of 73600 in words is "seventy-three thousand, six hundred".