72281088000 has 1344 divisors, whose sum is σ = 306199056384. Its totient is φ = 16220160000.

The previous prime is 72281087971. The next prime is 72281088049. The reversal of 72281088000 is 88018227.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2331647985 + ... + 2331648015.

Almost surely, 2^72281088000 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 72281088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153099528192).

72281088000 is an abundant number, since it is smaller than the sum of its proper divisors (233917968384).

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

72281088000 is a wasteful number, since it uses less digits than its factorization.

72281088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 72281088000 in words is "seventy-two billion, two hundred eighty-one million, eighty-eight thousand".