73820 has 12 divisors (see below), whose sum is σ = 155064. Its totient is φ = 29520.

The previous prime is 73819. The next prime is 73823. The reversal of 73820 is 2837.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 3691 = 73820 / (7 + 3 + 8 + 2 + 0).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 73792 and 73801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1826 + ... + 1865.

It is an arithmetic number, because the mean of its divisors is an integer number (12922).

2⁷³⁸²⁰ is an apocalyptic number.

It is an amenable number.

73820 is an abundant number, since it is smaller than the sum of its proper divisors (81244).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77532).

73820 is a wasteful number, since it uses less digits than its factorization.

73820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3700 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 73820 is about 271.6983621592. The cubic root of 73820 is about 41.9492963344.

The spelling of 73820 in words is "seventy-three thousand, eight hundred twenty".