72140 has 12 divisors (see below), whose sum is σ = 151536. Its totient is φ = 28848.

The previous prime is 72139. The next prime is 72161. The reversal of 72140 is 4127.

It is a happy number.

It is a plaindrome in base 16.

It is a zygodrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72140.

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, 1784 + ... + 1823.

It is an arithmetic number, because the mean of its divisors is an integer number (12628).

2⁷²¹⁴⁰ is an apocalyptic number.

It is an amenable number.

72140 is an abundant number, since it is smaller than the sum of its proper divisors (79396).

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 (75768).

72140 is a wasteful number, since it uses less digits than its factorization.

72140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3616 (or 3614 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 72140 is about 268.5889052065. The cubic root of 72140 is about 41.6286230528.

Adding to 72140 its reverse (4127), we get a palindrome (76267).

It can be divided in two parts, 72 and 140, that added together give a palindrome (212).

The spelling of 72140 in words is "seventy-two thousand, one hundred forty", and thus it is an iban number.