72580440 has 32 divisors (see below), whose sum is σ = 217741680. Its totient is φ = 19354752.

The previous prime is 72580439. The next prime is 72580441. The reversal of 72580440 is 4408527.

It is an interprime number because it is at equal distance from previous prime (72580439) and next prime (72580441).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 72580398 and 72580407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72580441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 302299 + ... + 302538.

Almost surely, 2^72580440 is an apocalyptic number.

It is an amenable number.

72580440 is an abundant number, since it is smaller than the sum of its proper divisors (145161240).

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

72580440 is a wasteful number, since it uses less digits than its factorization.

72580440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604851 (or 604847 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 72580440 is about 8519.4154729066. The cubic root of 72580440 is about 417.1317033628.

Adding to 72580440 its reverse (4408527), we get a palindrome (76988967).

The spelling of 72580440 in words is "seventy-two million, five hundred eighty thousand, four hundred forty".