72894399621120 has 5760 divisors, whose sum is σ = 356307362611200. Its totient is φ = 13905608048640.

The previous prime is 72894399621097. The next prime is 72894399621137. The reversal of 72894399621120 is 2112699349827.

72894399621120 is a `hidden beast` number, since 7 + 2 + 8 + 9 + 4 + 399 + 6 + 211 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×72894399621120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 573971650497 + ... + 573971650623.

It is an arithmetic number, because the mean of its divisors is an integer number (61858917120).

Almost surely, 2^{72894399621120} is an apocalyptic number.

72894399621120 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 72894399621120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178153681305600).

72894399621120 is an abundant number, since it is smaller than the sum of its proper divisors (283412962990080).

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

72894399621120 is a wasteful number, since it uses less digits than its factorization.

72894399621120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 72894399621120 in words is "seventy-two trillion, eight hundred ninety-four billion, three hundred ninety-nine million, six hundred twenty-one thousand, one hundred twenty".