73620 has 36 divisors (see below), whose sum is σ = 223860. Its totient is φ = 19584.

The previous prime is 73613. The next prime is 73637. The reversal of 73620 is 2637.

It can be written as a sum of positive squares in 2 ways, for example, as 49284 + 24336 = 222^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 73593 and 73602.

It is a congruent number.

It is an unprimeable number.

73620 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 11 ways as a sum of consecutive naturals, for example, 25 + ... + 384.

2⁷³⁶²⁰ 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 73620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111930).

73620 is an abundant number, since it is smaller than the sum of its proper divisors (150240).

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

73620 is a wasteful number, since it uses less digits than its factorization.

73620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 73620 is about 271.3300573103. The cubic root of 73620 is about 41.9113777597.

The spelling of 73620 in words is "seventy-three thousand, six hundred twenty".