72226627200 has 1728 divisors, whose sum is σ = 335898501120. Its totient is φ = 14631321600.

The previous prime is 72226627199. The next prime is 72226627229. The reversal of 72226627200 is 272662227.

It is a happy number.

72226627200 is a `hidden beast` number, since 7 + 2 + 2 + 2 + 6 + 627 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 568713537 + ... + 568713663.

Almost surely, 2^72226627200 is an apocalyptic number.

72226627200 is a gapful number since it is divisible by the number (70) 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 72226627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167949250560).

72226627200 is an abundant number, since it is smaller than the sum of its proper divisors (263671873920).

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

72226627200 is a wasteful number, since it uses less digits than its factorization.

72226627200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 72226627200 in words is "seventy-two billion, two hundred twenty-six million, six hundred twenty-seven thousand, two hundred".