72144681840 has 720 divisors, whose sum is σ = 306167779008. Its totient is φ = 14902272000.

The previous prime is 72144681751. The next prime is 72144681863. The reversal of 72144681840 is 4818644127.

72144681840 is a `hidden beast` number, since 7 + 2 + 1 + 4 + 468 + 184 + 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 143 ways as a sum of consecutive naturals, for example, 171364830 + ... + 171365250.

Almost surely, 2^72144681840 is an apocalyptic number.

72144681840 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 72144681840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153083889504).

72144681840 is an abundant number, since it is smaller than the sum of its proper divisors (234023097168).

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

72144681840 is a wasteful number, since it uses less digits than its factorization.

72144681840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 72144681840 in words is "seventy-two billion, one hundred forty-four million, six hundred eighty-one thousand, eight hundred forty".