72413285256 has 320 divisors, whose sum is σ = 222615993600. Its totient is φ = 21857651712.

The previous prime is 72413285251. The next prime is 72413285297. The reversal of 72413285256 is 65258231427.

72413285256 is a `hidden beast` number, since 72 + 4 + 1 + 328 + 5 + 256 = 666.

It is not an unprimeable number, because it can be changed into a prime (72413285251) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 155060335 + ... + 155060801.

It is an arithmetic number, because the mean of its divisors is an integer number (695674980).

Almost surely, 2^72413285256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72413285256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111307996800).

72413285256 is an abundant number, since it is smaller than the sum of its proper divisors (150202708344).

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

72413285256 is a wasteful number, since it uses less digits than its factorization.

72413285256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 797 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 72413285256 in words is "seventy-two billion, four hundred thirteen million, two hundred eighty-five thousand, two hundred fifty-six".