72851868949824 has 1120 divisors, whose sum is σ = 248904683596800. Its totient is φ = 20916459601920.

The previous prime is 72851868949789. The next prime is 72851868949859. The reversal of 72851868949824 is 42894986815827.

72851868949824 is a `hidden beast` number, since 7 + 2 + 8 + 518 + 6 + 8 + 9 + 4 + 98 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (72851868949789) and next prime (72851868949859).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 43031227122 + ... + 43031228814.

It is an arithmetic number, because the mean of its divisors is an integer number (222236324640).

Almost surely, 2^{72851868949824} 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 72851868949824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124452341798400).

72851868949824 is an abundant number, since it is smaller than the sum of its proper divisors (176052814646976).

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

72851868949824 is a wasteful number, since it uses less digits than its factorization.

72851868949824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2613 (or 2594 counting only the distinct ones).

The product of its digits is 4459069440, while the sum is 81.

The spelling of 72851868949824 in words is "seventy-two trillion, eight hundred fifty-one billion, eight hundred sixty-eight million, nine hundred forty-nine thousand, eight hundred twenty-four".