72340 has 12 divisors (see below), whose sum is σ = 151956. Its totient is φ = 28928.

The previous prime is 72337. The next prime is 72341. The reversal of 72340 is 4327.

It can be written as a sum of positive squares in 2 ways, for example, as 8836 + 63504 = 94^2 + 252^2 .

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72341) 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 3 ways as a sum of consecutive naturals, for example, 1789 + ... + 1828.

It is an arithmetic number, because the mean of its divisors is an integer number (12663).

2⁷²³⁴⁰ is an apocalyptic number.

It is an amenable number.

72340 is an abundant number, since it is smaller than the sum of its proper divisors (79616).

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 (75978).

72340 is a wasteful number, since it uses less digits than its factorization.

72340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3626 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 72340 is about 268.9609637103. The cubic root of 72340 is about 41.6670577741.

Adding to 72340 its reverse (4327), we get a palindrome (76667).

It can be divided in two parts, 723 and 40, that multiplied together give a triangular number (28920 = T₂₄₀).

The spelling of 72340 in words is "seventy-two thousand, three hundred forty", and thus it is an iban number.