72440 has 16 divisors (see below), whose sum is σ = 163080. Its totient is φ = 28960.

The previous prime is 72431. The next prime is 72461. The reversal of 72440 is 4427.

72440 is nontrivially palindromic in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 866 + ... + 945.

2⁷²⁴⁴⁰ is an apocalyptic number.

It is an amenable number.

72440 is an abundant number, since it is smaller than the sum of its proper divisors (90640).

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 (81540).

72440 is a wasteful number, since it uses less digits than its factorization.

72440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 72440 is about 269.1468000924. The cubic root of 72440 is about 41.6862485735.

Adding to 72440 its reverse (4427), we get a palindrome (76867).

It can be divided in two parts, 72 and 440, that added together give a 9-th power (512 = 2⁹).

The spelling of 72440 in words is "seventy-two thousand, four hundred forty", and thus it is an iban number.