72423647856 has 320 divisors, whose sum is σ = 247668751360. Its totient is φ = 19830666240.

The previous prime is 72423647851. The next prime is 72423647873. The reversal of 72423647856 is 65874632427.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72423647851) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7491666 + ... + 7501326.

It is an arithmetic number, because the mean of its divisors is an integer number (773964848).

Almost surely, 2^72423647856 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 72423647856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123834375680).

72423647856 is an abundant number, since it is smaller than the sum of its proper divisors (175245103504).

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

72423647856 is a wasteful number, since it uses less digits than its factorization.

72423647856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9789 (or 9777 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 72423647856 in words is "seventy-two billion, four hundred twenty-three million, six hundred forty-seven thousand, eight hundred fifty-six".