72228326400 has 528 divisors, whose sum is σ = 268651555200. Its totient is φ = 19013713920.

The previous prime is 72228326399. The next prime is 72228326477. The reversal of 72228326400 is 462382227.

It is a happy number.

72228326400 is a `hidden beast` number, since 7 + 2 + 2 + 2 + 8 + 3 + 2 + 640 + 0 = 666.

It is a super-2 number, since 2×72228326400² (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 57368971 + ... + 57370229.

Almost surely, 2^72228326400 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 72228326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134325777600).

72228326400 is an abundant number, since it is smaller than the sum of its proper divisors (196423228800).

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

72228326400 is a wasteful number, since it uses less digits than its factorization.

72228326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 72228326400 in words is "seventy-two billion, two hundred twenty-eight million, three hundred twenty-six thousand, four hundred".