72744823097856 has 1200 divisors, whose sum is σ = 269535418789824. Its totient is φ = 19125681389568.

The previous prime is 72744823097819. The next prime is 72744823097893. The reversal of 72744823097856 is 65879032844727.

72744823097856 is a `hidden beast` number, since 7 + 2 + 7 + 4 + 482 + 3 + 0 + 97 + 8 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (72744823097819) and next prime (72744823097893).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17024295336 + ... + 17024299608.

Almost surely, 2^{72744823097856} 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 72744823097856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134767709394912).

72744823097856 is an abundant number, since it is smaller than the sum of its proper divisors (196790595691968).

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

72744823097856 is a wasteful number, since it uses less digits than its factorization.

72744823097856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4683 (or 4645 counting only the distinct ones).

The product of its (nonzero) digits is 1137991680, while the sum is 72.

The spelling of 72744823097856 in words is "seventy-two trillion, seven hundred forty-four billion, eight hundred twenty-three million, ninety-seven thousand, eight hundred fifty-six".