72732721152 has 720 divisors, whose sum is σ = 256041862272. Its totient is φ = 18166579200.

The previous prime is 72732721123. The next prime is 72732721153. The reversal of 72732721152 is 25112723727.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 72732721152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72732721153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 720125902 + ... + 720126002.

Almost surely, 2^72732721152 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 72732721152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128020931136).

72732721152 is an abundant number, since it is smaller than the sum of its proper divisors (183309141120).

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

72732721152 is a wasteful number, since it uses less digits than its factorization.

72732721152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 149 counting only the distinct ones).

The product of its digits is 82320, while the sum is 39.

The spelling of 72732721152 in words is "seventy-two billion, seven hundred thirty-two million, seven hundred twenty-one thousand, one hundred fifty-two".