72063613440 has 1920 divisors, whose sum is σ = 340318218240. Its totient is φ = 14189395968.

The previous prime is 72063613439. The next prime is 72063613471. The reversal of 72063613440 is 4431636027.

It is a happy number.

72063613440 is a `hidden beast` number, since 7 + 2 + 0 + 636 + 13 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 72063613395 and 72063613404.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1075576287 + ... + 1075576353.

It is an arithmetic number, because the mean of its divisors is an integer number (177249072).

Almost surely, 2^72063613440 is an apocalyptic number.

72063613440 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 72063613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170159109120).

72063613440 is an abundant number, since it is smaller than the sum of its proper divisors (268254604800).

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

72063613440 is a wasteful number, since it uses less digits than its factorization.

72063613440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 72063613440 in words is "seventy-two billion, sixty-three million, six hundred thirteen thousand, four hundred forty".