72618931440 has 240 divisors, whose sum is σ = 266284358496. Its totient is φ = 17589043200.

The previous prime is 72618931439. The next prime is 72618931519. The reversal of 72618931440 is 4413981627.

72618931440 is a `hidden beast` number, since 7 + 26 + 189 + 3 + 1 + 440 = 666.

It is a Cunningham number, because it is equal to 269479²-1.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 10775752 + ... + 10782488.

Almost surely, 2^72618931440 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 72618931440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133142179248).

72618931440 is an abundant number, since it is smaller than the sum of its proper divisors (193665427056).

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

72618931440 is a wasteful number, since it uses less digits than its factorization.

72618931440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8128 (or 8119 counting only the distinct ones).

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

The spelling of 72618931440 in words is "seventy-two billion, six hundred eighteen million, nine hundred thirty-one thousand, four hundred forty".