72042427699200 has 936 divisors, whose sum is σ = 305073283881600. Its totient is φ = 15898977239040.

The previous prime is 72042427699199. The next prime is 72042427699217. The reversal of 72042427699200 is 299672424027.

72042427699200 is a `hidden beast` number, since 7 + 2 + 0 + 4 + 2 + 427 + 6 + 9 + 9 + 200 = 666.

It is a super-2 number, since 2×72042427699200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 186892261 + ... + 187277339.

It is an arithmetic number, because the mean of its divisors is an integer number (325932995600).

Almost surely, 2^{72042427699200} is an apocalyptic number.

72042427699200 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 72042427699200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152536641940800).

72042427699200 is an abundant number, since it is smaller than the sum of its proper divisors (233030856182400).

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

72042427699200 is a wasteful number, since it uses less digits than its factorization.

72042427699200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385155 (or 385125 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 72042427699200 in words is "seventy-two trillion, forty-two billion, four hundred twenty-seven million, six hundred ninety-nine thousand, two hundred".