72669994656 has 384 divisors, whose sum is σ = 239981543424. Its totient is φ = 18776309760.

The previous prime is 72669994619. The next prime is 72669994669. The reversal of 72669994656 is 65649996627.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55599955 + ... + 55601261.

It is an arithmetic number, because the mean of its divisors is an integer number (624951936).

Almost surely, 2^72669994656 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 72669994656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119990771712).

72669994656 is an abundant number, since it is smaller than the sum of its proper divisors (167311548768).

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

72669994656 is a wasteful number, since it uses less digits than its factorization.

72669994656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1524 counting only the distinct ones).

The product of its digits is 264539520, while the sum is 69.

The spelling of 72669994656 in words is "seventy-two billion, six hundred sixty-nine million, nine hundred ninety-four thousand, six hundred fifty-six".