272655008172432 has 640 divisors, whose sum is σ = 859282642391040. Its totient is φ = 82403315712000.

The previous prime is 272655008172431. The next prime is 272655008172451. The reversal of 272655008172432 is 234271800556272.

272655008172432 is a `hidden beast` number, since 2 + 7 + 2 + 6 + 5 + 500 + 81 + 7 + 24 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (272655008172431) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78779255182 + ... + 78779258642.

It is an arithmetic number, because the mean of its divisors is an integer number (1342629128736).

Almost surely, 2^{272655008172432} 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 272655008172432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429641321195520).

272655008172432 is an abundant number, since it is smaller than the sum of its proper divisors (586627634218608).

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

272655008172432 is a wasteful number, since it uses less digits than its factorization.

272655008172432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5000 (or 4988 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 272655008172432 in words is "two hundred seventy-two trillion, six hundred fifty-five billion, eight million, one hundred seventy-two thousand, four hundred thirty-two".