72005599178240 has 640 divisors, whose sum is σ = 215481488302080. Its totient is φ = 22468762533888.

The previous prime is 72005599178221. The next prime is 72005599178297. The reversal of 72005599178240 is 4287199550027.

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 72005599178240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7609167749 + ... + 7609177211.

It is an arithmetic number, because the mean of its divisors is an integer number (336689825472).

Almost surely, 2^{72005599178240} is an apocalyptic number.

72005599178240 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 72005599178240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107740744151040).

72005599178240 is an abundant number, since it is smaller than the sum of its proper divisors (143475889123840).

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

72005599178240 is a wasteful number, since it uses less digits than its factorization.

72005599178240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9962 (or 9946 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 59.

The spelling of 72005599178240 in words is "seventy-two trillion, five billion, five hundred ninety-nine million, one hundred seventy-eight thousand, two hundred forty".