72072422784000 has 1408 divisors, whose sum is σ = 277187942154240. Its totient is φ = 18449399808000.

The previous prime is 72072422783971. The next prime is 72072422784029. The reversal of 72072422784000 is 48722427027.

72072422784000 is a `hidden beast` number, since 72 + 0 + 72 + 42 + 2 + 78 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (72072422783971) and next prime (72072422784029).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13606269352 + ... + 13606274648.

Almost surely, 2^{72072422784000} 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 72072422784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138593971077120).

72072422784000 is an abundant number, since it is smaller than the sum of its proper divisors (205115519370240).

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

72072422784000 is a wasteful number, since it uses less digits than its factorization.

72072422784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5499 (or 5465 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 45.

The spelling of 72072422784000 in words is "seventy-two trillion, seventy-two billion, four hundred twenty-two million, seven hundred eighty-four thousand".