72820725732 has 96 divisors (see below), whose sum is σ = 195839884800. Its totient is φ = 23372326656.

The previous prime is 72820725697. The next prime is 72820725737. The reversal of 72820725732 is 23752702827.

72820725732 is a `hidden beast` number, since 7 + 2 + 8 + 2 + 0 + 72 + 573 + 2 = 666.

It is a super-2 number, since 2×72820725732² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72820725737) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1117768 + ... + 1181120.

It is an arithmetic number, because the mean of its divisors is an integer number (2039998800).

Almost surely, 2^72820725732 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 72820725732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97919942400).

72820725732 is an abundant number, since it is smaller than the sum of its proper divisors (123019159068).

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

72820725732 is a wasteful number, since it uses less digits than its factorization.

72820725732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63762 (or 63754 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 72820725732 in words is "seventy-two billion, eight hundred twenty million, seven hundred twenty-five thousand, seven hundred thirty-two".