72259840 has 36 divisors (see below), whose sum is σ = 173087964. Its totient is φ = 28903424.

The previous prime is 72259819. The next prime is 72259841. The reversal of 72259840 is 4895227.

It can be written as a sum of positive squares in 2 ways, for example, as 33918976 + 38340864 = 5824^2 + 6192^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72259840.

It is not an unprimeable number, because it can be changed into a prime (72259841) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26947 + ... + 29506.

It is an arithmetic number, because the mean of its divisors is an integer number (4807999).

Almost surely, 2^72259840 is an apocalyptic number.

It is an amenable number.

72259840 is an abundant number, since it is smaller than the sum of its proper divisors (100828124).

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

72259840 is an equidigital number, since it uses as much as digits as its factorization.

72259840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56474 (or 56460 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 72259840 is about 8500.5788038227. The cubic root of 72259840 is about 416.5166165482.

The spelling of 72259840 in words is "seventy-two million, two hundred fifty-nine thousand, eight hundred forty".