70072312032000 has 1728 divisors, whose sum is σ = 269645683507200. Its totient is φ = 18110291558400.

The previous prime is 70072312031983. The next prime is 70072312032043. The reversal of 70072312032000 is 23021327007.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39836447121 + ... + 39836448879.

Almost surely, 2^{70072312032000} 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 70072312032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134822841753600).

70072312032000 is an abundant number, since it is smaller than the sum of its proper divisors (199573371475200).

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

70072312032000 is a wasteful number, since it uses less digits than its factorization.

70072312032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

Adding to 70072312032000 its reverse (23021327007), we get a palindrome (70095333359007).

The spelling of 70072312032000 in words is "seventy trillion, seventy-two billion, three hundred twelve million, thirty-two thousand".