73720 has 32 divisors (see below), whose sum is σ = 176400. Its totient is φ = 27648.

The previous prime is 73709. The next prime is 73721. The reversal of 73720 is 2737.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 712 + ... + 808.

2⁷³⁷²⁰ 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 73720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88200).

73720 is an abundant number, since it is smaller than the sum of its proper divisors (102680).

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

73720 is a wasteful number, since it uses less digits than its factorization.

73720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 19.

The square root of 73720 is about 271.5142721847. The cubic root of 73720 is about 41.9303456197.

It can be divided in two parts, 737 and 20, that added together give a palindrome (757).

The spelling of 73720 in words is "seventy-three thousand, seven hundred twenty", and thus it is an iban number.