72232812288 has 576 divisors, whose sum is σ = 274383943680. Its totient is φ = 18218483712.

The previous prime is 72232812277. The next prime is 72232812307. The reversal of 72232812288 is 88221823227.

72232812288 is a `hidden beast` number, since 72 + 23 + 281 + 2 + 288 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14464320 + ... + 14469312.

Almost surely, 2^72232812288 is an apocalyptic number.

72232812288 is a gapful number since it is divisible by the number (78) 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 72232812288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137191971840).

72232812288 is an abundant number, since it is smaller than the sum of its proper divisors (202151131392).

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

72232812288 is a wasteful number, since it uses less digits than its factorization.

72232812288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5061 (or 5041 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The spelling of 72232812288 in words is "seventy-two billion, two hundred thirty-two million, eight hundred twelve thousand, two hundred eighty-eight".