72416210424240 has 40 divisors (see below), whose sum is σ = 224490252315888. Its totient is φ = 19310989446400.

The previous prime is 72416210424193. The next prime is 72416210424263. The reversal of 72416210424240 is 4242401261427.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150867104811 + ... + 150867105290.

Almost surely, 2^{72416210424240} is an apocalyptic number.

It is an amenable number.

72416210424240 is an abundant number, since it is smaller than the sum of its proper divisors (152074041891648).

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

72416210424240 is a wasteful number, since it uses less digits than its factorization.

72416210424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301734210117 (or 301734210111 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 39.

Adding to 72416210424240 its reverse (4242401261427), we get a palindrome (76658611685667).

The spelling of 72416210424240 in words is "seventy-two trillion, four hundred sixteen billion, two hundred ten million, four hundred twenty-four thousand, two hundred forty".