72087052800 has 960 divisors, whose sum is σ = 289149493248. Its totient is φ = 15482880000.

The previous prime is 72087052757. The next prime is 72087052811. The reversal of 72087052800 is 825078027.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 341644695 + ... + 341644905.

Almost surely, 2^72087052800 is an apocalyptic number.

72087052800 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 72087052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144574746624).

72087052800 is an abundant number, since it is smaller than the sum of its proper divisors (217062440448).

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

72087052800 is a wasteful number, since it uses less digits than its factorization.

72087052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The spelling of 72087052800 in words is "seventy-two billion, eighty-seven million, fifty-two thousand, eight hundred".