72895921920 has 288 divisors, whose sum is σ = 267602932800. Its totient is φ = 18768347136.

The previous prime is 72895921883. The next prime is 72895921939. The reversal of 72895921920 is 2912959827.

72895921920 is a `hidden beast` number, since 7 + 28 + 9 + 592 + 1 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 965874 + ... + 1038606.

It is an arithmetic number, because the mean of its divisors is an integer number (929176850).

Almost surely, 2^72895921920 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 72895921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133801466400).

72895921920 is an abundant number, since it is smaller than the sum of its proper divisors (194707010880).

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

72895921920 is a wasteful number, since it uses less digits than its factorization.

72895921920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72792 (or 72772 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 72895921920 in words is "seventy-two billion, eight hundred ninety-five million, nine hundred twenty-one thousand, nine hundred twenty".