72430440 has 64 divisors (see below), whose sum is σ = 219360960. Its totient is φ = 19130880.

The previous prime is 72430411. The next prime is 72430453. The reversal of 72430440 is 4403427.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 72430440.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10020 + ... + 15660.

It is an arithmetic number, because the mean of its divisors is an integer number (3427515).

Almost surely, 2^72430440 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 72430440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109680480).

72430440 is an abundant number, since it is smaller than the sum of its proper divisors (146930520).

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

72430440 is a wasteful number, since it uses less digits than its factorization.

72430440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5762 (or 5758 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 72430440 is about 8510.6074988804. The cubic root of 72430440 is about 416.8441469688.

Adding to 72430440 its reverse (4403427), we get a palindrome (76833867).

The spelling of 72430440 in words is "seventy-two million, four hundred thirty thousand, four hundred forty".