72400585552 has 20 divisors (see below), whose sum is σ = 142922855700. Its totient is φ = 35517267968.

The previous prime is 72400585531. The next prime is 72400585553. The reversal of 72400585552 is 25558500427.

It can be written as a sum of positive squares in 2 ways, for example, as 65237333056 + 7163252496 = 255416^2 + 84636^2 .

It is a super-2 number, since 2×72400585552² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72400585499 and 72400585508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72400585553) 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, 42688177 + ... + 42689872.

It is an arithmetic number, because the mean of its divisors is an integer number (7146142785).

Almost surely, 2^72400585552 is an apocalyptic number.

It is an amenable number.

72400585552 is a deficient number, since it is larger than the sum of its proper divisors (70522270148).

72400585552 is a wasteful number, since it uses less digits than its factorization.

72400585552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85378110 (or 85378104 counting only the distinct ones).

The product of its (nonzero) digits is 560000, while the sum is 43.

The spelling of 72400585552 in words is "seventy-two billion, four hundred million, five hundred eighty-five thousand, five hundred fifty-two".