72772297212888 has 1600 divisors, whose sum is σ = 271437100812000. Its totient is φ = 18063711783936.

The previous prime is 72772297212833. The next prime is 72772297212977. The reversal of 72772297212888 is 88821279227727.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

72772297212888 is a `hidden beast` number, since 7 + 277 + 2 + 2 + 9 + 72 + 1 + 288 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 72772297212888 = 10166³ + 41548³ = 27846³ + 37128³.

Its product of digits (354041856) is a multiple of the sum of its prime divisors (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 4280723365456 + ... + 4280723365472.

Almost surely, 2^{72772297212888} is an apocalyptic number.

72772297212888 is a gapful number since it is divisible by the number (78) 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 72772297212888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135718550406000).

72772297212888 is an abundant number, since it is smaller than the sum of its proper divisors (198664803599112).

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

72772297212888 is an frugal number, since it uses more digits than its factorization.

72772297212888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 42 counting only the distinct ones).

The product of its digits is 354041856, while the sum is 72.

The spelling of 72772297212888 in words is "seventy-two trillion, seven hundred seventy-two billion, two hundred ninety-seven million, two hundred twelve thousand, eight hundred eighty-eight".