72921008160 has 2160 divisors, whose sum is σ = 359222410008. Its totient is φ = 13795246080.

The previous prime is 72921008063. The next prime is 72921008203. The reversal of 72921008160 is 6180012927.

It can be written as a sum of positive squares in 4 ways, for example, as 47955744144 + 24965264016 = 218988^2 + 158004^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 998917884 + ... + 998917956.

Almost surely, 2^72921008160 is an apocalyptic number.

72921008160 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 72921008160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179611205004).

72921008160 is an abundant number, since it is smaller than the sum of its proper divisors (286301401848).

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

72921008160 is a wasteful number, since it uses less digits than its factorization.

72921008160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 72921008160 in words is "seventy-two billion, nine hundred twenty-one million, eight thousand, one hundred sixty".