72732607344 has 100 divisors (see below), whose sum is σ = 211348894680. Its totient is φ = 24147504000.

The previous prime is 72732607313. The next prime is 72732607361. The reversal of 72732607344 is 44370623727.

72732607344 is a `hidden beast` number, since 7 + 2 + 7 + 3 + 2 + 607 + 34 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 72732607344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 213502 + ... + 437090.

Almost surely, 2^72732607344 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 72732607344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105674447340).

72732607344 is an abundant number, since it is smaller than the sum of its proper divisors (138616287336).

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

72732607344 is a wasteful number, since it uses less digits than its factorization.

72732607344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223860 (or 223845 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 45.

The spelling of 72732607344 in words is "seventy-two billion, seven hundred thirty-two million, six hundred seven thousand, three hundred forty-four".