72753496752 has 360 divisors, whose sum is σ = 217865328048. Its totient is φ = 20844380160.

The previous prime is 72753496747. The next prime is 72753496763. The reversal of 72753496752 is 25769435727.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 72753496692 and 72753496701.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 283087408 + ... + 283087664.

Almost surely, 2^72753496752 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 72753496752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108932664024).

72753496752 is an abundant number, since it is smaller than the sum of its proper divisors (145111831296).

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

72753496752 is a wasteful number, since it uses less digits than its factorization.

72753496752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 329 counting only the distinct ones).

The product of its digits is 22226400, while the sum is 57.

The spelling of 72753496752 in words is "seventy-two billion, seven hundred fifty-three million, four hundred ninety-six thousand, seven hundred fifty-two".