72240 has 80 divisors (see below), whose sum is σ = 261888. Its totient is φ = 16128.

The previous prime is 72229. The next prime is 72251. The reversal of 72240 is 4227.

It is an interprime number because it is at equal distance from previous prime (72229) and next prime (72251).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1659 + ... + 1701.

2⁷²²⁴⁰ is an apocalyptic number.

72240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130944).

72240 is an abundant number, since it is smaller than the sum of its proper divisors (189648).

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

72240 is a wasteful number, since it uses less digits than its factorization.

72240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 72240 is about 268.7749988373. The cubic root of 72240 is about 41.6478492808.

Adding to 72240 its reverse (4227), we get a palindrome (76467).

The spelling of 72240 in words is "seventy-two thousand, two hundred forty", and thus it is an iban number.