72919222272 has 756 divisors, whose sum is σ = 251456886135. Its totient is φ = 21116878848.

The previous prime is 72919222261. The next prime is 72919222373. The reversal of 72919222272 is 27222291927.

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.

72919222272 is a `hidden beast` number, since 7 + 291 + 92 + 2 + 2 + 272 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 29561988096 + 43357234176 = 171936^2 + 208224^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=190944.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 4289366008 + ... + 4289366024.

Almost surely, 2^72919222272 is an apocalyptic number.

72919222272 is a gapful number since it is divisible by the number (72) 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 72919222272

72919222272 is an abundant number, since it is smaller than the sum of its proper divisors (178537663863).

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

72919222272 is an equidigital number, since it uses as much as digits as its factorization.

72919222272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 35 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The spelling of 72919222272 in words is "seventy-two billion, nine hundred nineteen million, two hundred twenty-two thousand, two hundred seventy-two".