72747548160 has 480 divisors, whose sum is σ = 274071029760. Its totient is φ = 16410820608.

The previous prime is 72747548143. The next prime is 72747548219. The reversal of 72747548160 is 6184574727.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29728057 + ... + 29730503.

It is an arithmetic number, because the mean of its divisors is an integer number (570981312).

Almost surely, 2^72747548160 is an apocalyptic number.

72747548160 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 72747548160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137035514880).

72747548160 is an abundant number, since it is smaller than the sum of its proper divisors (201323481600).

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

72747548160 is a wasteful number, since it uses less digits than its factorization.

72747548160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 51.

It can be divided in two parts, 727475 and 48160, that added together give a triangular number (775635 = T₁₂₄₅).

The spelling of 72747548160 in words is "seventy-two billion, seven hundred forty-seven million, five hundred forty-eight thousand, one hundred sixty".