72853831680 has 240 divisors, whose sum is σ = 266435030400. Its totient is φ = 16651911168.

The previous prime is 72853831657. The next prime is 72853831681. The reversal of 72853831680 is 8613835827.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72853831681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1699146 + ... + 1741494.

It is an arithmetic number, because the mean of its divisors is an integer number (1110145960).

Almost surely, 2^72853831680 is an apocalyptic number.

72853831680 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 72853831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133217515200).

72853831680 is an abundant number, since it is smaller than the sum of its proper divisors (193581198720).

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

72853831680 is an equidigital number, since it uses as much as digits as its factorization.

72853831680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42392 (or 42366 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 72853831680 in words is "seventy-two billion, eight hundred fifty-three million, eight hundred thirty-one thousand, six hundred eighty".