72894530880 has 560 divisors, whose sum is σ = 271135839744. Its totient is φ = 18567843840.

The previous prime is 72894530879. The next prime is 72894530887. The reversal of 72894530880 is 8803549827.

It is a happy number.

72894530880 is a `hidden beast` number, since 7 + 28 + 9 + 4 + 530 + 8 + 80 = 666.

It is a super-2 number, since 2×72894530880² (a number of 23 digits) contains 22 as substring.

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 (72894530887) 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, 66691614 + ... + 66692706.

Almost surely, 2^72894530880 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 72894530880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135567919872).

72894530880 is an abundant number, since it is smaller than the sum of its proper divisors (198241308864).

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

72894530880 is a wasteful number, since it uses less digits than its factorization.

72894530880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 72894530880 in words is "seventy-two billion, eight hundred ninety-four million, five hundred thirty thousand, eight hundred eighty".