72071162064 has 240 divisors, whose sum is σ = 233164838400. Its totient is φ = 20551968000.

The previous prime is 72071162041. The next prime is 72071162069. The reversal of 72071162064 is 46026117027.

72071162064 is a `hidden beast` number, since 7 + 20 + 7 + 1 + 1 + 620 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72071162069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4536567 + ... + 4552425.

It is an arithmetic number, because the mean of its divisors is an integer number (971520160).

Almost surely, 2^72071162064 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 72071162064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116582419200).

72071162064 is an abundant number, since it is smaller than the sum of its proper divisors (161093676336).

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

72071162064 is a wasteful number, since it uses less digits than its factorization.

72071162064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16054 (or 16045 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 72071162064 in words is "seventy-two billion, seventy-one million, one hundred sixty-two thousand, sixty-four".