72150422400 has 1728 divisors, whose sum is σ = 324745621200. Its totient is φ = 15173222400.

The previous prime is 72150422363. The next prime is 72150422419. The reversal of 72150422400 is 422405127.

72150422400 is a `hidden beast` number, since 7 + 215 + 0 + 42 + 2 + 400 = 666.

It is a congruent number.

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, 1677916779 + ... + 1677916821.

Almost surely, 2^72150422400 is an apocalyptic number.

72150422400 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 72150422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162372810600).

72150422400 is an abundant number, since it is smaller than the sum of its proper divisors (252595198800).

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

72150422400 is a wasteful number, since it uses less digits than its factorization.

72150422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

Adding to 72150422400 its reverse (422405127), we get a palindrome (72572827527).

The spelling of 72150422400 in words is "seventy-two billion, one hundred fifty million, four hundred twenty-two thousand, four hundred".