72677232576 has 672 divisors, whose sum is σ = 252959616000. Its totient is φ = 19707494400.

The previous prime is 72677232553. The next prime is 72677232587. The reversal of 72677232576 is 67523277627.

72677232576 is a `hidden beast` number, since 7 + 2 + 67 + 7 + 2 + 3 + 2 + 576 = 666.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 365212125 + ... + 365212323.

It is an arithmetic number, because the mean of its divisors is an integer number (376428000).

Almost surely, 2^72677232576 is an apocalyptic number.

72677232576 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72677232576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126479808000).

72677232576 is an abundant number, since it is smaller than the sum of its proper divisors (180282383424).

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

72677232576 is a wasteful number, since it uses less digits than its factorization.

72677232576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 404 counting only the distinct ones).

The product of its digits is 10372320, while the sum is 54.

The spelling of 72677232576 in words is "seventy-two billion, six hundred seventy-seven million, two hundred thirty-two thousand, five hundred seventy-six".