72894704181120 has 640 divisors, whose sum is σ = 277737609520800. Its totient is φ = 18155455119360.

The previous prime is 72894704181059. The next prime is 72894704181127. The reversal of 72894704181120 is 2118140749827.

72894704181120 is a `hidden beast` number, since 7 + 2 + 8 + 9 + 470 + 41 + 8 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72894704181127) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 115131976 + ... + 115763384.

Almost surely, 2^{72894704181120} 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 72894704181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138868804760400).

72894704181120 is an abundant number, since it is smaller than the sum of its proper divisors (204842905339680).

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

72894704181120 is a wasteful number, since it uses less digits than its factorization.

72894704181120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631588 (or 631567 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 72894704181120 in words is "seventy-two trillion, eight hundred ninety-four billion, seven hundred four million, one hundred eighty-one thousand, one hundred twenty".