72275632000 has 512 divisors, whose sum is σ = 218134425600. Its totient is φ = 23454720000.

The previous prime is 72275631991. The next prime is 72275632003. The reversal of 72275632000 is 23657227.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72275632003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70927491 + ... + 70928509.

It is an arithmetic number, because the mean of its divisors is an integer number (426043800).

Almost surely, 2^72275632000 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 72275632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109067212800).

72275632000 is an abundant number, since it is smaller than the sum of its proper divisors (145858793600).

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

72275632000 is a wasteful number, since it uses less digits than its factorization.

72275632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 34.

The spelling of 72275632000 in words is "seventy-two billion, two hundred seventy-five million, six hundred thirty-two thousand".