72142936440 has 64 divisors (see below), whose sum is σ = 220512391200. Its totient is φ = 18875131392.

The previous prime is 72142936423. The next prime is 72142936451. The reversal of 72142936440 is 4463924127.

It is a junction number, because it is equal to n+sod(n) for n = 72142936392 and 72142936401.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5665255 + ... + 5677974.

Almost surely, 2^72142936440 is an apocalyptic number.

It is an amenable number.

72142936440 is an abundant number, since it is smaller than the sum of its proper divisors (148369454760).

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

72142936440 is a wasteful number, since it uses less digits than its factorization.

72142936440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11343296 (or 11343292 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 72142936440 in words is "seventy-two billion, one hundred forty-two million, nine hundred thirty-six thousand, four hundred forty".