72325440 has 224 divisors, whose sum is σ = 278709120. Its totient is φ = 17510400.

The previous prime is 72325439. The next prime is 72325447. The reversal of 72325440 is 4452327.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72325447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94660 + ... + 95420.

Almost surely, 2^72325440 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 72325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139354560).

72325440 is an abundant number, since it is smaller than the sum of its proper divisors (206383680).

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

72325440 is a wasteful number, since it uses less digits than its factorization.

72325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 72325440 is about 8504.4364892684. The cubic root of 72325440 is about 416.6426211902.

Adding to 72325440 its reverse (4452327), we get a palindrome (76777767).

The spelling of 72325440 in words is "seventy-two million, three hundred twenty-five thousand, four hundred forty".