72854685120 has 448 divisors, whose sum is σ = 271081414656. Its totient is φ = 16234352640.

The previous prime is 72854685107. The next prime is 72854685139. The reversal of 72854685120 is 2158645827.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 72854685120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46373935 + ... + 46375505.

Almost surely, 2^72854685120 is an apocalyptic number.

72854685120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72854685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135540707328).

72854685120 is an abundant number, since it is smaller than the sum of its proper divisors (198226729536).

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

72854685120 is a wasteful number, since it uses less digits than its factorization.

72854685120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 72854685120 in words is "seventy-two billion, eight hundred fifty-four million, six hundred eighty-five thousand, one hundred twenty".