72400666635660 has 96 divisors (see below), whose sum is σ = 221635047416832. Its totient is φ = 17513270392320.

The previous prime is 72400666635629. The next prime is 72400666635683. The reversal of 72400666635660 is 6653666600427.

It is a happy number.

72400666635660 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×72400666635660² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72400666635660.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119718052 + ... + 120321291.

It is an arithmetic number, because the mean of its divisors is an integer number (2308698410592).

Almost surely, 2^{72400666635660} is an apocalyptic number.

It is an amenable number.

72400666635660 is an abundant number, since it is smaller than the sum of its proper divisors (149234380781172).

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

72400666635660 is a wasteful number, since it uses less digits than its factorization.

72400666635660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240039823 (or 240039821 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 57.

The spelling of 72400666635660 in words is "seventy-two trillion, four hundred billion, six hundred sixty-six million, six hundred thirty-five thousand, six hundred sixty".