72994141440 has 720 divisors, whose sum is σ = 294889351680. Its totient is φ = 17077616640.

The previous prime is 72994141387. The next prime is 72994141463. The reversal of 72994141440 is 4414149927.

72994141440 is a `hidden beast` number, since 7 + 2 + 99 + 414 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33072817 + ... + 33075023.

It is an arithmetic number, because the mean of its divisors is an integer number (409568544).

Almost surely, 2^72994141440 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 72994141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147444675840).

72994141440 is an abundant number, since it is smaller than the sum of its proper divisors (221895210240).

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

72994141440 is a wasteful number, since it uses less digits than its factorization.

72994141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 72994141440 in words is "seventy-two billion, nine hundred ninety-four million, one hundred forty-one thousand, four hundred forty".