72040 has 16 divisors (see below), whose sum is σ = 162180. Its totient is φ = 28800.

The previous prime is 72031. The next prime is 72043. The reversal of 72040 is 4027.

72040 = T₁₁₅ + T₁₁₆ + ... + T₁₂₄.

It can be written as a sum of positive squares in 2 ways, for example, as 66564 + 5476 = 258^2 + 74^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72043) 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, 861 + ... + 940.

2⁷²⁰⁴⁰ is an apocalyptic number.

It is an amenable number.

72040 is an abundant number, since it is smaller than the sum of its proper divisors (90140).

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 (81090).

72040 is a wasteful number, since it uses less digits than its factorization.

72040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 72040 is about 268.4026825499. The cubic root of 72040 is about 41.6093790490.

Subtracting from 72040 its sum of digits (13), we obtain a palindrome (72027).

Adding to 72040 its reverse (4027), we get a palindrome (76067).

The spelling of 72040 in words is "seventy-two thousand, forty", and thus it is an iban number.