72006574080000 has 1020 divisors, whose sum is σ = 279141027902880. Its totient is φ = 16457269248000.

The previous prime is 72006574079989. The next prime is 72006574080013. The reversal of 72006574080000 is 8047560027.

It is a super-3 number, since 3×72006574080000³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6021114021 + ... + 6021125979.

Almost surely, 2^{72006574080000} is an apocalyptic number.

72006574080000 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 72006574080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139570513951440).

72006574080000 is an abundant number, since it is smaller than the sum of its proper divisors (207134453822880).

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

72006574080000 is an frugal number, since it uses more digits than its factorization.

72006574080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12028 (or 11976 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The spelling of 72006574080000 in words is "seventy-two trillion, six billion, five hundred seventy-four million, eighty thousand".