72345500648256 has 112 divisors (see below), whose sum is σ = 210022448948928. Its totient is φ = 21796157030400.

The previous prime is 72345500648251. The next prime is 72345500648269. The reversal of 72345500648256 is 65284600554327.

It is a junction number, because it is equal to n+sod(n) for n = 72345500648196 and 72345500648205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72345500648251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98636065 + ... + 99366816.

It is an arithmetic number, because the mean of its divisors is an integer number (1875200437044).

Almost surely, 2^{72345500648256} is an apocalyptic number.

It is an amenable number.

72345500648256 is an abundant number, since it is smaller than the sum of its proper divisors (137676948300672).

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

72345500648256 is a wasteful number, since it uses less digits than its factorization.

72345500648256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198003080 (or 198003070 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 57.

The spelling of 72345500648256 in words is "seventy-two trillion, three hundred forty-five billion, five hundred million, six hundred forty-eight thousand, two hundred fifty-six".