72381440 has 88 divisors (see below), whose sum is σ = 177057312. Its totient is φ = 28385280.

The previous prime is 72381403. The next prime is 72381443. The reversal of 72381440 is 4418327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72381443) 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 7 ways as a sum of consecutive naturals, for example, 342935 + ... + 343145.

Almost surely, 2^72381440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88528656).

72381440 is an abundant number, since it is smaller than the sum of its proper divisors (104675872).

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

72381440 is a wasteful number, since it uses less digits than its factorization.

72381440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 72381440 is about 8507.7282514194. The cubic root of 72381440 is about 416.7501258596.

Adding to 72381440 its reverse (4418327), we get a palindrome (76799767).

The spelling of 72381440 in words is "seventy-two million, three hundred eighty-one thousand, four hundred forty".