72938527072 has 96 divisors (see below), whose sum is σ = 151594861824. Its totient is φ = 34496716800.

The previous prime is 72938527037. The next prime is 72938527073. The reversal of 72938527072 is 27072583927.

It is a happy number.

It is a super-3 number, since 3×72938527072³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72938527073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14771388 + ... + 14776324.

It is an arithmetic number, because the mean of its divisors is an integer number (1579113144).

Almost surely, 2^72938527072 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 72938527072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75797430912).

72938527072 is an abundant number, since it is smaller than the sum of its proper divisors (78656334752).

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

72938527072 is a wasteful number, since it uses less digits than its factorization.

72938527072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5312 (or 5304 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 52.

The spelling of 72938527072 in words is "seventy-two billion, nine hundred thirty-eight million, five hundred twenty-seven thousand, seventy-two".