72623923200 has 756 divisors, whose sum is σ = 275357567394. Its totient is φ = 18284544000.

The previous prime is 72623923189. The next prime is 72623923223. The reversal of 72623923200 is 232932627.

72623923200 is a `hidden beast` number, since 7 + 2 + 62 + 392 + 3 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 34044678144 + 38579245056 = 184512^2 + 196416^2 .

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

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 53 ways as a sum of consecutive naturals, for example, 1771315180 + ... + 1771315220.

Almost surely, 2^72623923200 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 72623923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137678783697).

72623923200 is an abundant number, since it is smaller than the sum of its proper divisors (202733644194).

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

72623923200 is a wasteful number, since it uses less digits than its factorization.

72623923200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 72623923200 in words is "seventy-two billion, six hundred twenty-three million, nine hundred twenty-three thousand, two hundred".