272125712500 has 72 divisors (see below), whose sum is σ = 609756019992. Its totient is φ = 106195200000.

The previous prime is 272125712497. The next prime is 272125712503. The reversal of 272125712500 is 5217521272.

It is an interprime number because it is at equal distance from previous prime (272125712497) and next prime (272125712503).

It can be written as a sum of positive squares in 12 ways, for example, as 196757893476 + 75367819024 = 443574^2 + 274532^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272125712503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247012 + ... + 777988.

It is an arithmetic number, because the mean of its divisors is an integer number (8468833611).

Almost surely, 2^272125712500 is an apocalyptic number.

272125712500 is a gapful number since it is divisible by the number (20) 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 272125712500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304878009996).

272125712500 is an abundant number, since it is smaller than the sum of its proper divisors (337630307492).

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

272125712500 is an equidigital number, since it uses as much as digits as its factorization.

272125712500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531047 (or 531025 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 34.

The spelling of 272125712500 in words is "two hundred seventy-two billion, one hundred twenty-five million, seven hundred twelve thousand, five hundred".